32996952576 has 480 divisors, whose sum is σ = 115209768960. Its totient is φ = 8887836672.

The previous prime is 32996952563. The next prime is 32996952629. The reversal of 32996952576 is 67525969923.

32996952576 = 14236² + 14237² + ... + 14396².

32996952576 is a `hidden beast` number, since 3 + 2 + 9 + 9 + 6 + 9 + 52 + 576 = 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 47 ways as a sum of consecutive naturals, for example, 58608871 + ... + 58609433.

It is an arithmetic number, because the mean of its divisors is an integer number (240020352).

Almost surely, 2^32996952576 is an apocalyptic number.

32996952576 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 32996952576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57604884480).

32996952576 is an abundant number, since it is smaller than the sum of its proper divisors (82212816384).

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

32996952576 is a wasteful number, since it uses less digits than its factorization.

32996952576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 677 counting only the distinct ones).

The product of its digits is 55112400, while the sum is 63.

The spelling of 32996952576 in words is "thirty-two billion, nine hundred ninety-six million, nine hundred fifty-two thousand, five hundred seventy-six".