636056064 has 300 divisors, whose sum is σ = 2215468134. Its totient is φ = 181149696.

The previous prime is 636056023. The next prime is 636056107. The reversal of 636056064 is 460650636.

636056064 is a `hidden beast` number, since 6 + 36 + 0 + 560 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 635040000 + 1016064 = 25200^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2031972 + ... + 2032284.

Almost surely, 2^636056064 is an apocalyptic number.

636056064 is a gapful number since it is divisible by the number (64) 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 636056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107734067).

636056064 is an abundant number, since it is smaller than the sum of its proper divisors (1579412070).

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

636056064 is an equidigital number, since it uses as much as digits as its factorization.

636056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 636056064 is about 25220.1519424448. The cubic root of 636056064 is about 860.0000288444. Note that the first 4 decimals are identical.

The spelling of 636056064 in words is "six hundred thirty-six million, fifty-six thousand, sixty-four".