32079934656 has 1008 divisors, whose sum is σ = 125215009920. Its totient is φ = 8047226880.

The previous prime is 32079934619. The next prime is 32079934661. The reversal of 32079934656 is 65643997023.

32079934656 is a `hidden beast` number, since 3 + 20 + 79 + 93 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 360448660 + ... + 360448748.

It is an arithmetic number, because the mean of its divisors is an integer number (124221240).

Almost surely, 2^32079934656 is an apocalyptic number.

32079934656 is a gapful number since it is divisible by the number (36) 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 32079934656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62607504960).

32079934656 is an abundant number, since it is smaller than the sum of its proper divisors (93135075264).

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

32079934656 is a wasteful number, since it uses less digits than its factorization.

32079934656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 32079934656 in words is "thirty-two billion, seventy-nine million, nine hundred thirty-four thousand, six hundred fifty-six".