36113760900 has 432 divisors, whose sum is σ = 138804032640. Its totient is φ = 7968844800.

The previous prime is 36113760857. The next prime is 36113760901. The reversal of 36113760900 is 906731163.

36113760900 is a `hidden beast` number, since 3 + 6 + 11 + 37 + 609 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36113760901) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 4929240 + ... + 4936560.

Almost surely, 2^36113760900 is an apocalyptic number.

36113760900 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 36113760900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69402016320).

36113760900 is an abundant number, since it is smaller than the sum of its proper divisors (102690271740).

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

36113760900 is a wasteful number, since it uses less digits than its factorization.

36113760900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7386 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 36113760900 in words is "thirty-six billion, one hundred thirteen million, seven hundred sixty thousand, nine hundred".