36900363672 has 128 divisors (see below), whose sum is σ = 107299123200. Its totient is φ = 11735539200.

The previous prime is 36900363671. The next prime is 36900363673. The reversal of 36900363672 is 27636300963.

36900363672 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 0 + 3 + 636 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (36900363671) and next prime (36900363673).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36900363671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436608 + ... + 514224.

It is an arithmetic number, because the mean of its divisors is an integer number (838274400).

Almost surely, 2^36900363672 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 36900363672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53649561600).

36900363672 is an abundant number, since it is smaller than the sum of its proper divisors (70398759528).

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

36900363672 is a wasteful number, since it uses less digits than its factorization.

36900363672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77734 (or 77724 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 36900363672 in words is "thirty-six billion, nine hundred million, three hundred sixty-three thousand, six hundred seventy-two".