32680682496 has 1320 divisors, whose sum is σ = 134178983136. Its totient is φ = 7803371520.

The previous prime is 32680682477. The next prime is 32680682509. The reversal of 32680682496 is 69428608623.

32680682496 is a `hidden beast` number, since 32 + 68 + 0 + 68 + 2 + 496 = 666.

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 119 ways as a sum of consecutive naturals, for example, 760015851 + ... + 760015893.

Almost surely, 2^32680682496 is an apocalyptic number.

32680682496 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 32680682496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67089491568).

32680682496 is an abundant number, since it is smaller than the sum of its proper divisors (101498300640).

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

32680682496 is a wasteful number, since it uses less digits than its factorization.

32680682496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 32680682496 in words is "thirty-two billion, six hundred eighty million, six hundred eighty-two thousand, four hundred ninety-six".