36862801920 has 720 divisors, whose sum is σ = 153869035320. Its totient is φ = 8416493568.

The previous prime is 36862801919. The next prime is 36862801931. The reversal of 36862801920 is 2910826863.

36862801920 is a `hidden beast` number, since 3 + 6 + 8 + 628 + 0 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642107 + ... + 40643013.

Almost surely, 2^36862801920 is an apocalyptic number.

36862801920 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 36862801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76934517660).

36862801920 is an abundant number, since it is smaller than the sum of its proper divisors (117006233400).

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

36862801920 is an equidigital number, since it uses as much as digits as its factorization.

36862801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 36862801920 in words is "thirty-six billion, eight hundred sixty-two million, eight hundred one thousand, nine hundred twenty".