79684362014400 has 2016 divisors, whose sum is σ = 345821091033600. Its totient is φ = 17729141760000.

The previous prime is 79684362014393. The next prime is 79684362014419. The reversal of 79684362014400 is 441026348697.

79684362014400 is a `hidden beast` number, since 7 + 9 + 6 + 8 + 4 + 3 + 620 + 1 + 4 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12163691125 + ... + 12163697675.

It is an arithmetic number, because the mean of its divisors is an integer number (171538239600).

Almost surely, 2^{79684362014400} 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 79684362014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172910545516800).

79684362014400 is an abundant number, since it is smaller than the sum of its proper divisors (266136729019200).

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

79684362014400 is a wasteful number, since it uses less digits than its factorization.

79684362014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796 (or 6764 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 79684362014400 in words is "seventy-nine trillion, six hundred eighty-four billion, three hundred sixty-two million, fourteen thousand, four hundred".