36356104800 has 1008 divisors, whose sum is σ = 149082489360. Its totient is φ = 8599633920.

The previous prime is 36356104679. The next prime is 36356104843. The reversal of 36356104800 is 840165363.

36356104800 is a `hidden beast` number, since 3 + 6 + 35 + 610 + 4 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 188373504 + ... + 188373696.

It is an arithmetic number, because the mean of its divisors is an integer number (147899295).

Almost surely, 2^36356104800 is an apocalyptic number.

36356104800 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 36356104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74541244680).

36356104800 is an abundant number, since it is smaller than the sum of its proper divisors (112726384560).

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

36356104800 is a wasteful number, since it uses less digits than its factorization.

36356104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 36356104800 in words is "thirty-six billion, three hundred fifty-six million, one hundred four thousand, eight hundred".