36800650321920 has 1344 divisors, whose sum is σ = 139938857210880. Its totient is φ = 9262124236800.

The previous prime is 36800650321859. The next prime is 36800650321921. The reversal of 36800650321920 is 2912305600863.

36800650321920 is a `hidden beast` number, since 36 + 8 + 0 + 0 + 6 + 503 + 21 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (36800650321921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12650617426 + ... + 12650620334.

It is an arithmetic number, because the mean of its divisors is an integer number (104121173520).

Almost surely, 2^{36800650321920} is an apocalyptic number.

36800650321920 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 36800650321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69969428605440).

36800650321920 is an abundant number, since it is smaller than the sum of its proper divisors (103138206888960).

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

36800650321920 is an equidigital number, since it uses as much as digits as its factorization.

36800650321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 36800650321920 in words is "thirty-six trillion, eight hundred billion, six hundred fifty million, three hundred twenty-one thousand, nine hundred twenty".