36728521804800 has 1320 divisors, whose sum is σ = 155653208256480. Its totient is φ = 8383050547200.

The previous prime is 36728521804757. The next prime is 36728521804879. The reversal of 36728521804800 is 840812582763.

36728521804800 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 85 + 2 + 1 + 80 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13658801856 + ... + 13658804544.

It is an arithmetic number, because the mean of its divisors is an integer number (117919097164).

Almost surely, 2^{36728521804800} is an apocalyptic number.

36728521804800 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 36728521804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77826604128240).

36728521804800 is an abundant number, since it is smaller than the sum of its proper divisors (118924686451680).

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

36728521804800 is a wasteful number, since it uses less digits than its factorization.

36728521804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3679 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 36728521804800 in words is "thirty-six trillion, seven hundred twenty-eight billion, five hundred twenty-one million, eight hundred four thousand, eight hundred".