6801567252480 has 2000 divisors, whose sum is σ = 32740534721664. Its totient is φ = 1304596316160.

The previous prime is 6801567252479. The next prime is 6801567252481. The reversal of 6801567252480 is 842527651086.

6801567252480 is a `hidden beast` number, since 6 + 8 + 0 + 156 + 7 + 2 + 5 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (6801567252479) and next prime (6801567252481).

It is a super-2 number, since 2×6801567252480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 24960 × 12672 × 21504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6801567252481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 523197480954 + ... + 523197480966.

Almost surely, 2^{6801567252480} is an apocalyptic number.

6801567252480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6801567252480 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6801567252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370267360832).

6801567252480 is an abundant number, since it is smaller than the sum of its proper divisors (25938967469184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6801567252480 is an frugal number, since it uses more digits than its factorization.

6801567252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 6801567252480 in words is "six trillion, eight hundred one billion, five hundred sixty-seven million, two hundred fifty-two thousand, four hundred eighty".