79669368800 has 288 divisors, whose sum is σ = 232635110400. Its totient is φ = 26049576960.

The previous prime is 79669368799. The next prime is 79669368811. The reversal of 79669368800 is 886396697.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 56542496 + ... + 56543904.

It is an arithmetic number, because the mean of its divisors is an integer number (807760800).

Almost surely, 2^79669368800 is an apocalyptic number.

79669368800 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 79669368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116317555200).

79669368800 is an abundant number, since it is smaller than the sum of its proper divisors (152965741600).

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

79669368800 is a wasteful number, since it uses less digits than its factorization.

79669368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 62.

The spelling of 79669368800 in words is "seventy-nine billion, six hundred sixty-nine million, three hundred sixty-eight thousand, eight hundred".