36364951633920 has 1440 divisors, whose sum is σ = 146847538656000. Its totient is φ = 7616222724096.

The previous prime is 36364951633897. The next prime is 36364951634023. The reversal of 36364951633920 is 2933615946363.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23325818101 + ... + 23325819659.

It is an arithmetic number, because the mean of its divisors is an integer number (101977457400).

Almost surely, 2^{36364951633920} is an apocalyptic number.

36364951633920 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 36364951633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73423769328000).

36364951633920 is an abundant number, since it is smaller than the sum of its proper divisors (110482587022080).

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

36364951633920 is a wasteful number, since it uses less digits than its factorization.

36364951633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 60.

The spelling of 36364951633920 in words is "thirty-six trillion, three hundred sixty-four billion, nine hundred fifty-one million, six hundred thirty-three thousand, nine hundred twenty".