36831896640 has 1008 divisors, whose sum is σ = 166369593600. Its totient is φ = 7642736640.

The previous prime is 36831896639. The next prime is 36831896693. The reversal of 36831896640 is 4669813863.

36831896640 is a `hidden beast` number, since 368 + 3 + 189 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×36831896640² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51226201 + ... + 51226919.

It is an arithmetic number, because the mean of its divisors is an integer number (165049200).

Almost surely, 2^36831896640 is an apocalyptic number.

36831896640 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 36831896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83184796800).

36831896640 is an abundant number, since it is smaller than the sum of its proper divisors (129537696960).

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

36831896640 is a wasteful number, since it uses less digits than its factorization.

36831896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 747 counting only the distinct ones).

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

The spelling of 36831896640 in words is "thirty-six billion, eight hundred thirty-one million, eight hundred ninety-six thousand, six hundred forty".