32640283368 has 512 divisors, whose sum is σ = 116651520000. Its totient is φ = 8452382400.

The previous prime is 32640283307. The next prime is 32640283409. The reversal of 32640283368 is 86338204623.

32640283368 is a `hidden beast` number, since 3 + 2 + 6 + 4 + 0 + 283 + 368 = 666.

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 127 ways as a sum of consecutive naturals, for example, 98610963 + ... + 98611293.

It is an arithmetic number, because the mean of its divisors is an integer number (227835000).

Almost surely, 2^32640283368 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 32640283368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58325760000).

32640283368 is an abundant number, since it is smaller than the sum of its proper divisors (84011236632).

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

32640283368 is a wasteful number, since it uses less digits than its factorization.

32640283368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 32640283368 in words is "thirty-two billion, six hundred forty million, two hundred eighty-three thousand, three hundred sixty-eight".