79632191232000 has 3840 divisors, whose sum is σ = 346746671631360. Its totient is φ = 17984913408000.

The previous prime is 79632191231941. The next prime is 79632191232079. The reversal of 79632191232000 is 23219123697.

79632191232000 is a `hidden beast` number, since 7 + 9 + 6 + 321 + 91 + 232 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 225586943824 + ... + 225586944176.

It is an arithmetic number, because the mean of its divisors is an integer number (90298612404).

Almost surely, 2^{79632191232000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79632191232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173373335815680).

79632191232000 is an abundant number, since it is smaller than the sum of its proper divisors (267114480399360).

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

79632191232000 is a wasteful number, since it uses less digits than its factorization.

79632191232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 79632191232000 in words is "seventy-nine trillion, six hundred thirty-two billion, one hundred ninety-one million, two hundred thirty-two thousand".