79913624202720 has 3072 divisors, whose sum is σ = 363735491051520. Its totient is φ = 16108995502080.

The previous prime is 79913624202649. The next prime is 79913624202817. The reversal of 79913624202720 is 2720242631997.

It is a happy number.

79913624202720 is a `hidden beast` number, since 7 + 9 + 9 + 1 + 3 + 624 + 2 + 0 + 2 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 152798516379 + ... + 152798516901.

It is an arithmetic number, because the mean of its divisors is an integer number (118403480160).

Almost surely, 2^{79913624202720} is an apocalyptic number.

79913624202720 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 79913624202720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181867745525760).

79913624202720 is an abundant number, since it is smaller than the sum of its proper divisors (283821866848800).

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

79913624202720 is a wasteful number, since it uses less digits than its factorization.

79913624202720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 79913624202720 in words is "seventy-nine trillion, nine hundred thirteen billion, six hundred twenty-four million, two hundred two thousand, seven hundred twenty".