36876270816 has 768 divisors, whose sum is σ = 140321341440. Its totient is φ = 9144576000.

The previous prime is 36876270797. The next prime is 36876270857. The reversal of 36876270816 is 61807267863.

36876270816 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 627 + 0 + 8 + 1 + 6 = 666.

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 127 ways as a sum of consecutive naturals, for example, 174768951 + ... + 174769161.

It is an arithmetic number, because the mean of its divisors is an integer number (182710080).

Almost surely, 2^36876270816 is an apocalyptic number.

36876270816 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 36876270816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70160670720).

36876270816 is an abundant number, since it is smaller than the sum of its proper divisors (103445070624).

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

36876270816 is a wasteful number, since it uses less digits than its factorization.

36876270816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 36876270816 in words is "thirty-six billion, eight hundred seventy-six million, two hundred seventy thousand, eight hundred sixteen".