7929804960 has 768 divisors, whose sum is σ = 35765452800. Its totient is φ = 1592524800.

The previous prime is 7929804947. The next prime is 7929805003. The reversal of 7929804960 is 694089297.

7929804960 is a `hidden beast` number, since 79 + 2 + 9 + 80 + 496 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7929804897 and 7929804906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10311456 + ... + 10312224.

It is an arithmetic number, because the mean of its divisors is an integer number (46569600).

Almost surely, 2^7929804960 is an apocalyptic number.

7929804960 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 7929804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882726400).

7929804960 is an abundant number, since it is smaller than the sum of its proper divisors (27835647840).

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

7929804960 is a wasteful number, since it uses less digits than its factorization.

7929804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 7929804960 is about 89049.4523284675. The cubic root of 7929804960 is about 1994.1332206106.

The spelling of 7929804960 in words is "seven billion, nine hundred twenty-nine million, eight hundred four thousand, nine hundred sixty".