32845928976 has 560 divisors, whose sum is σ = 118660976640. Its totient is φ = 8591235840.

The previous prime is 32845928963. The next prime is 32845929013. The reversal of 32845928976 is 67982954823.

32845928976 is a `hidden beast` number, since 3 + 284 + 5 + 9 + 289 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48090331 + ... + 48091013.

Almost surely, 2^32845928976 is an apocalyptic number.

32845928976 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 32845928976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59330488320).

32845928976 is an abundant number, since it is smaller than the sum of its proper divisors (85815047664).

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

32845928976 is a wasteful number, since it uses less digits than its factorization.

32845928976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 745 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

It can be divided in two parts, 328459 and 28976, that added together give a triangular number (357435 = T₈₄₅).

The spelling of 32845928976 in words is "thirty-two billion, eight hundred forty-five million, nine hundred twenty-eight thousand, nine hundred seventy-six".