7662792960 has 216 divisors, whose sum is σ = 27427884120. Its totient is φ = 1972862976.

The previous prime is 7662792913. The next prime is 7662792971. The reversal of 7662792960 is 692972667.

It is a happy number.

7662792960 is a `hidden beast` number, since 7 + 6 + 627 + 9 + 2 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 305270784 + 7357522176 = 17472^2 + 85776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7662792897 and 7662792906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322612 + ... + 345548.

It is an arithmetic number, because the mean of its divisors is an integer number (126980945).

Almost surely, 2^7662792960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7662792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713942060).

7662792960 is an abundant number, since it is smaller than the sum of its proper divisors (19765091160).

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

7662792960 is a wasteful number, since it uses less digits than its factorization.

7662792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22993 (or 22976 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 7662792960 is about 87537.3803583361. The cubic root of 7662792960 is about 1971.4950781416.

The spelling of 7662792960 in words is "seven billion, six hundred sixty-two million, seven hundred ninety-two thousand, nine hundred sixty".