79435637452800 has 1248 divisors, whose sum is σ = 297544627800000. Its totient is φ = 20769354547200.

The previous prime is 79435637452771. The next prime is 79435637452819. The reversal of 79435637452800 is 825473653497.

It is a happy number.

79435637452800 is a `hidden beast` number, since 7 + 9 + 4 + 3 + 563 + 7 + 45 + 28 + 0 + 0 = 666.

It is a congruent number.

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, 75725106676 + ... + 75725107724.

Almost surely, 2^{79435637452800} 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 79435637452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148772313900000).

79435637452800 is an abundant number, since it is smaller than the sum of its proper divisors (218108990347200).

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

79435637452800 is a wasteful number, since it uses less digits than its factorization.

79435637452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 79435637452800 in words is "seventy-nine trillion, four hundred thirty-five billion, six hundred thirty-seven million, four hundred fifty-two thousand, eight hundred".