36635106816 has 640 divisors, whose sum is σ = 136768389120. Its totient is φ = 9405849600.

The previous prime is 36635106803. The next prime is 36635106817. The reversal of 36635106816 is 61860153663.

36635106816 is a `hidden beast` number, since 3 + 6 + 63 + 510 + 68 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36635106817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135184761 + ... + 135185031.

It is an arithmetic number, because the mean of its divisors is an integer number (213700608).

Almost surely, 2^36635106816 is an apocalyptic number.

36635106816 is a gapful number since it is divisible by the number (36) 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 36635106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68384194560).

36635106816 is an abundant number, since it is smaller than the sum of its proper divisors (100133282304).

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

36635106816 is a wasteful number, since it uses less digits than its factorization.

36635106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 36635106816 in words is "thirty-six billion, six hundred thirty-five million, one hundred six thousand, eight hundred sixteen".