7818612480 has 972 divisors, whose sum is σ = 34396656840. Its totient is φ = 1693052928.

The previous prime is 7818612469. The next prime is 7818612509. The reversal of 7818612480 is 842168187.

7818612480 is a `hidden beast` number, since 7 + 81 + 86 + 12 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×7818612480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 411505911 + ... + 411505929.

Almost surely, 2^7818612480 is an apocalyptic number.

7818612480 is a gapful number since it is divisible by the number (70) 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 7818612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17198328420).

7818612480 is an abundant number, since it is smaller than the sum of its proper divisors (26578044360).

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

7818612480 is an frugal number, since it uses more digits than its factorization.

7818612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 7818612480 is about 88422.9182961069. The cubic root of 7818612480 is about 1984.7686711074.

The spelling of 7818612480 in words is "seven billion, eight hundred eighteen million, six hundred twelve thousand, four hundred eighty".