32640742368 has 240 divisors, whose sum is σ = 104339964960. Its totient is φ = 9950045184.

The previous prime is 32640742319. The next prime is 32640742417. The reversal of 32640742368 is 86324704623.

32640742368 is a `hidden beast` number, since 3 + 2 + 6 + 407 + 4 + 236 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (32640742319) and next prime (32640742417).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3668421 + ... + 3677307.

It is an arithmetic number, because the mean of its divisors is an integer number (434749854).

Almost surely, 2^32640742368 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 32640742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52169982480).

32640742368 is an abundant number, since it is smaller than the sum of its proper divisors (71699222592).

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

32640742368 is a wasteful number, since it uses less digits than its factorization.

32640742368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9031 (or 9014 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 32640742368 in words is "thirty-two billion, six hundred forty million, seven hundred forty-two thousand, three hundred sixty-eight".