36117367680 has 256 divisors, whose sum is σ = 123275649600. Its totient is φ = 8962179072.

The previous prime is 36117367661. The next prime is 36117367703. The reversal of 36117367680 is 8676371163.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2898744 + ... + 2911176.

Almost surely, 2^36117367680 is an apocalyptic number.

36117367680 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 36117367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61637824800).

36117367680 is an abundant number, since it is smaller than the sum of its proper divisors (87158281920).

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

36117367680 is a wasteful number, since it uses less digits than its factorization.

36117367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12561 (or 12549 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 36117367680 in words is "thirty-six billion, one hundred seventeen million, three hundred sixty-seven thousand, six hundred eighty".