36624275899920 has 400 divisors, whose sum is σ = 128590267196160. Its totient is φ = 9660367411200.

The previous prime is 36624275899903. The next prime is 36624275899921. The reversal of 36624275899920 is 2999857242663.

It is a happy number.

36624275899920 is a `hidden beast` number, since 3 + 6 + 62 + 427 + 58 + 9 + 9 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (36624275899921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 244020100 + ... + 244170140.

Almost surely, 2^{36624275899920} is an apocalyptic number.

36624275899920 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 36624275899920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64295133598080).

36624275899920 is an abundant number, since it is smaller than the sum of its proper divisors (91965991296240).

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

36624275899920 is a wasteful number, since it uses less digits than its factorization.

36624275899920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150476 (or 150461 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 36624275899920 in words is "thirty-six trillion, six hundred twenty-four billion, two hundred seventy-five million, eight hundred ninety-nine thousand, nine hundred twenty".