79634016000 has 2592 divisors, whose sum is σ = 396947416320. Its totient is φ = 15676416000.

The previous prime is 79634015999. The next prime is 79634016013. The reversal of 79634016000 is 61043697.

79634016000 is a `hidden beast` number, since 7 + 9 + 6 + 3 + 40 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4191263991 + ... + 4191264009.

Almost surely, 2^79634016000 is an apocalyptic number.

79634016000 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 79634016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198473708160).

79634016000 is an abundant number, since it is smaller than the sum of its proper divisors (317313400320).

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

79634016000 is a wasteful number, since it uses less digits than its factorization.

79634016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 79634016000 its reverse (61043697), we get a palindrome (79695059697).

The spelling of 79634016000 in words is "seventy-nine billion, six hundred thirty-four million, sixteen thousand".