79413358694400 has 624 divisors, whose sum is σ = 307089619758400. Its totient is φ = 20062308925440.

The previous prime is 79413358694387. The next prime is 79413358694413. The reversal of 79413358694400 is 449685331497.

79413358694400 is a `hidden beast` number, since 7 + 9 + 4 + 1 + 3 + 3 + 586 + 9 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79413358694387) and next prime (79413358694413).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51775332 + ... + 53287068.

Almost surely, 2^{79413358694400} 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 79413358694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153544809879200).

79413358694400 is an abundant number, since it is smaller than the sum of its proper divisors (227676261064000).

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

79413358694400 is a wasteful number, since it uses less digits than its factorization.

79413358694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511799 (or 1511766 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 79413358694400 in words is "seventy-nine trillion, four hundred thirteen billion, three hundred fifty-eight million, six hundred ninety-four thousand, four hundred".