36634139136 has 320 divisors, whose sum is σ = 124402037760. Its totient is φ = 10427166720.

The previous prime is 36634139123. The next prime is 36634139159. The reversal of 36634139136 is 63193143663.

36634139136 is a `hidden beast` number, since 3 + 6 + 634 + 1 + 3 + 9 + 1 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36634139091 and 36634139100.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33577951 + ... + 33579041.

It is an arithmetic number, because the mean of its divisors is an integer number (388756368).

Almost surely, 2^36634139136 is an apocalyptic number.

36634139136 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 36634139136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62201018880).

36634139136 is an abundant number, since it is smaller than the sum of its proper divisors (87767898624).

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

36634139136 is a wasteful number, since it uses less digits than its factorization.

36634139136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1450 counting only the distinct ones).

The product of its digits is 629856, while the sum is 45.

The spelling of 36634139136 in words is "thirty-six billion, six hundred thirty-four million, one hundred thirty-nine thousand, one hundred thirty-six".