79747632000 has 512 divisors, whose sum is σ = 295123046400. Its totient is φ = 21165926400.

The previous prime is 79747631993. The next prime is 79747632011. The reversal of 79747632000 is 23674797.

It is a happy number.

79747632000 is a `hidden beast` number, since 7 + 9 + 7 + 4 + 7 + 632 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158543749 + ... + 158544251.

It is an arithmetic number, because the mean of its divisors is an integer number (576412200).

Almost surely, 2^79747632000 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 79747632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147561523200).

79747632000 is an abundant number, since it is smaller than the sum of its proper divisors (215375414400).

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

79747632000 is a wasteful number, since it uses less digits than its factorization.

79747632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 79747632000 in words is "seventy-nine billion, seven hundred forty-seven million, six hundred thirty-two thousand".