36817870880 has 144 divisors (see below), whose sum is σ = 101641962240. Its totient is φ = 12566066688.

The previous prime is 36817870847. The next prime is 36817870883. The reversal of 36817870880 is 8807871863.

It is a super-2 number, since 2×36817870880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (36817870883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1737791 + ... + 1758849.

It is an arithmetic number, because the mean of its divisors is an integer number (705846960).

Almost surely, 2^36817870880 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 36817870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50820981120).

36817870880 is an abundant number, since it is smaller than the sum of its proper divisors (64824091360).

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

36817870880 is a wasteful number, since it uses less digits than its factorization.

36817870880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21311 (or 21296 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 56.

The spelling of 36817870880 in words is "thirty-six billion, eight hundred seventeen million, eight hundred seventy thousand, eight hundred eighty".