36331975680 has 1408 divisors, whose sum is σ = 166390640640. Its totient is φ = 6511656960.

The previous prime is 36331975661. The next prime is 36331975739. The reversal of 36331975680 is 8657913363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×36331975680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261381051 + ... + 261381189.

Almost surely, 2^36331975680 is an apocalyptic number.

36331975680 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 36331975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83195320320).

36331975680 is an abundant number, since it is smaller than the sum of its proper divisors (130058664960).

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

36331975680 is a wasteful number, since it uses less digits than its factorization.

36331975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 36331975680 in words is "thirty-six billion, three hundred thirty-one million, nine hundred seventy-five thousand, six hundred eighty".