36391680864 has 384 divisors, whose sum is σ = 134843304960. Its totient is φ = 9273139200.

The previous prime is 36391680757. The next prime is 36391680907. The reversal of 36391680864 is 46808619363.

36391680864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36391680864² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 36391680864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3520824 + ... + 3531144.

It is an arithmetic number, because the mean of its divisors is an integer number (351154440).

Almost surely, 2^36391680864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36391680864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67421652480).

36391680864 is an abundant number, since it is smaller than the sum of its proper divisors (98451624096).

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

36391680864 is a wasteful number, since it uses less digits than its factorization.

36391680864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10411 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 36391680864 in words is "thirty-six billion, three hundred ninety-one million, six hundred eighty thousand, eight hundred sixty-four".