79971494400 has 720 divisors, whose sum is σ = 339287492544. Its totient is φ = 18274222080.

The previous prime is 79971494389. The next prime is 79971494497. The reversal of 79971494400 is 449417997.

79971494400 is a `hidden beast` number, since 7 + 9 + 97 + 149 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 21770964 + ... + 21774636.

Almost surely, 2^79971494400 is an apocalyptic number.

79971494400 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 79971494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169643746272).

79971494400 is an abundant number, since it is smaller than the sum of its proper divisors (259315998144).

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

79971494400 is an equidigital number, since it uses as much as digits as its factorization.

79971494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 79971494400 in words is "seventy-nine billion, nine hundred seventy-one million, four hundred ninety-four thousand, four hundred".