7952799179520 has 864 divisors, whose sum is σ = 30861250964544. Its totient is φ = 1949250355200.

The previous prime is 7952799179503. The next prime is 7952799179561. The reversal of 7952799179520 is 259719972597.

7952799179520 is a `hidden beast` number, since 7 + 9 + 5 + 2 + 7 + 9 + 91 + 7 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 974484240 + ... + 974492400.

Almost surely, 2^{7952799179520} 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 7952799179520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15430625482272).

7952799179520 is an abundant number, since it is smaller than the sum of its proper divisors (22908451785024).

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

7952799179520 is a wasteful number, since it uses less digits than its factorization.

7952799179520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8451 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 225042300, while the sum is 72.

It can be divided in two parts, 795279 and 9179520, that added together give a palindrome (9974799).

The spelling of 7952799179520 in words is "seven trillion, nine hundred fifty-two billion, seven hundred ninety-nine million, one hundred seventy-nine thousand, five hundred twenty".