36568106640 has 640 divisors, whose sum is σ = 145100712960. Its totient is φ = 8393932800.

The previous prime is 36568106609. The next prime is 36568106657. The reversal of 36568106640 is 4660186563.

36568106640 is a `hidden beast` number, since 36 + 568 + 10 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26478750 + ... + 26480130.

It is an arithmetic number, because the mean of its divisors is an integer number (226719864).

Almost surely, 2^36568106640 is an apocalyptic number.

36568106640 is a gapful number since it is divisible by the number (30) 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 36568106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72550356480).

36568106640 is an abundant number, since it is smaller than the sum of its proper divisors (108532606320).

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

36568106640 is a wasteful number, since it uses less digits than its factorization.

36568106640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 36568106640 in words is "thirty-six billion, five hundred sixty-eight million, one hundred six thousand, six hundred forty".