6744759840 has 1440 divisors, whose sum is σ = 32119053120. Its totient is φ = 1316818944.

The previous prime is 6744759829. The next prime is 6744759851. The reversal of 6744759840 is 489574476.

6744759840 is a `hidden beast` number, since 6 + 7 + 4 + 4 + 7 + 598 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6744759829) and next prime (6744759851).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 156854859 + ... + 156854901.

It is an arithmetic number, because the mean of its divisors is an integer number (22304898).

Almost surely, 2^6744759840 is an apocalyptic number.

6744759840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6744759840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16059526560).

6744759840 is an abundant number, since it is smaller than the sum of its proper divisors (25374293280).

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

6744759840 is a wasteful number, since it uses less digits than its factorization.

6744759840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 6744759840 is about 82126.4868358558. The cubic root of 6744759840 is about 1889.3923972796.

The spelling of 6744759840 in words is "six billion, seven hundred forty-four million, seven hundred fifty-nine thousand, eight hundred forty".