79043564920320 has 1920 divisors, whose sum is σ = 368218020538368. Its totient is φ = 15133763174400.

The previous prime is 79043564920289. The next prime is 79043564920349. The reversal of 79043564920320 is 2302946534097.

79043564920320 is a `hidden beast` number, since 7 + 9 + 0 + 43 + 564 + 9 + 2 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14137640725 + ... + 14137646315.

Almost surely, 2^{79043564920320} is an apocalyptic number.

79043564920320 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 79043564920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184109010269184).

79043564920320 is an abundant number, since it is smaller than the sum of its proper divisors (289174455618048).

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

79043564920320 is a wasteful number, since it uses less digits than its factorization.

79043564920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 79043564920320 in words is "seventy-nine trillion, forty-three billion, five hundred sixty-four million, nine hundred twenty thousand, three hundred twenty".