36372256816896 has 2160 divisors, whose sum is σ = 147553423213504. Its totient is φ = 8671297536000.

The previous prime is 36372256816859. The next prime is 36372256816967. The reversal of 36372256816896 is 69861865227363.

36372256816896 is a `hidden beast` number, since 3 + 6 + 37 + 22 + 568 + 1 + 6 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (940584960) is a multiple of the sum of its prime factors (972).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 55026106806 + ... + 55026107466.

Almost surely, 2^{36372256816896} is an apocalyptic number.

36372256816896 is a gapful number since it is divisible by the number (36) 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 36372256816896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73776711606752).

36372256816896 is an abundant number, since it is smaller than the sum of its proper divisors (111181166396608).

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

36372256816896 is a wasteful number, since it uses less digits than its factorization.

36372256816896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 938 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 36372256816896 in words is "thirty-six trillion, three hundred seventy-two billion, two hundred fifty-six million, eight hundred sixteen thousand, eight hundred ninety-six".