79919720496 has 600 divisors, whose sum is σ = 295566796800. Its totient is φ = 20615212800.

The previous prime is 79919720429. The next prime is 79919720513. The reversal of 79919720496 is 69402791997.

79919720496 is a `hidden beast` number, since 79 + 9 + 1 + 9 + 72 + 0 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 133421605 + ... + 133422203.

It is an arithmetic number, because the mean of its divisors is an integer number (492611328).

Almost surely, 2^79919720496 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 79919720496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147783398400).

79919720496 is an abundant number, since it is smaller than the sum of its proper divisors (215647076304).

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

79919720496 is a wasteful number, since it uses less digits than its factorization.

79919720496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 79919720496 in words is "seventy-nine billion, nine hundred nineteen million, seven hundred twenty thousand, four hundred ninety-six".