36216697935600 has 4320 divisors, whose sum is σ = 170576833050624. Its totient is φ = 7308345139200.

The previous prime is 36216697935563. The next prime is 36216697935623. The reversal of 36216697935600 is 653979661263.

36216697935600 is a `hidden beast` number, since 3 + 6 + 2 + 1 + 6 + 69 + 7 + 9 + 3 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 162406717089 + ... + 162406717311.

Almost surely, 2^{36216697935600} is an apocalyptic number.

36216697935600 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 36216697935600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85288416525312).

36216697935600 is an abundant number, since it is smaller than the sum of its proper divisors (134360135115024).

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

36216697935600 is a wasteful number, since it uses less digits than its factorization.

36216697935600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 36216697935600 in words is "thirty-six trillion, two hundred sixteen billion, six hundred ninety-seven million, nine hundred thirty-five thousand, six hundred".