79711632000 has 2304 divisors, whose sum is σ = 396170611200. Its totient is φ = 15095808000.

The previous prime is 79711631999. The next prime is 79711632029. The reversal of 79711632000 is 23611797.

It is a happy number.

79711632000 is a `hidden beast` number, since 7 + 9 + 7 + 11 + 632 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×79711632000² (a number of 23 digits) contains 22 as substring.

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, 1009007961 + ... + 1009008039.

It is an arithmetic number, because the mean of its divisors is an integer number (171949050).

Almost surely, 2^79711632000 is an apocalyptic number.

79711632000 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 79711632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198085305600).

79711632000 is an abundant number, since it is smaller than the sum of its proper divisors (316458979200).

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

79711632000 is a wasteful number, since it uses less digits than its factorization.

79711632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 79711632000 in words is "seventy-nine billion, seven hundred eleven million, six hundred thirty-two thousand".