79471361894400 has 864 divisors, whose sum is σ = 342393738523200. Its totient is φ = 17208822988800.

The previous prime is 79471361894377. The next prime is 79471361894417. The reversal of 79471361894400 is 449816317497.

79471361894400 is a `hidden beast` number, since 7 + 9 + 4 + 7 + 1 + 3 + 6 + 189 + 440 + 0 = 666.

It is a super-2 number, since 2×79471361894400² (a number of 29 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 60638040 + ... + 61934760.

Almost surely, 2^{79471361894400} is an apocalyptic number.

79471361894400 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 79471361894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171196869261600).

79471361894400 is an abundant number, since it is smaller than the sum of its proper divisors (262922376628800).

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

79471361894400 is a wasteful number, since it uses less digits than its factorization.

79471361894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296785 (or 1296757 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 79471361894400 in words is "seventy-nine trillion, four hundred seventy-one billion, three hundred sixty-one million, eight hundred ninety-four thousand, four hundred".