36858587120640 has 616 divisors, whose sum is σ = 133097012431488. Its totient is φ = 9789548544000.

The previous prime is 36858587120633. The next prime is 36858587120683. The reversal of 36858587120640 is 4602178585863.

36858587120640 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 8 + 587 + 1 + 2 + 0 + 6 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 936832809 + ... + 936872151.

Almost surely, 2^{36858587120640} is an apocalyptic number.

36858587120640 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 36858587120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66548506215744).

36858587120640 is an abundant number, since it is smaller than the sum of its proper divisors (96238425310848).

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

36858587120640 is an equidigital number, since it uses as much as digits as its factorization.

36858587120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39637 (or 39604 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 36858587120640 in words is "thirty-six trillion, eight hundred fifty-eight billion, five hundred eighty-seven million, one hundred twenty thousand, six hundred forty".