7929660960 has 288 divisors, whose sum is σ = 29822240448. Its totient is φ = 1906329600.

The previous prime is 7929660943. The next prime is 7929660979. The reversal of 7929660960 is 690669297.

It is a happy number.

7929660960 is a `hidden beast` number, since 7 + 9 + 29 + 6 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 7929660897 and 7929660906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800035 + ... + 809885.

It is an arithmetic number, because the mean of its divisors is an integer number (103549446).

Almost surely, 2^7929660960 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 7929660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14911120224).

7929660960 is an abundant number, since it is smaller than the sum of its proper divisors (21892579488).

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

7929660960 is a wasteful number, since it uses less digits than its factorization.

7929660960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9928 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 7929660960 is about 89048.6437852930. The cubic root of 7929660960 is about 1994.1211498252.

The spelling of 7929660960 in words is "seven billion, nine hundred twenty-nine million, six hundred sixty thousand, nine hundred sixty".