36770735808 has 224 divisors, whose sum is σ = 113011712000. Its totient is φ = 11710033920.

The previous prime is 36770735783. The next prime is 36770735809. The reversal of 36770735808 is 80853707763.

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

It is not an unprimeable number, because it can be changed into a prime (36770735809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4227528 + ... + 4236216.

Almost surely, 2^36770735808 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 36770735808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56505856000).

36770735808 is an abundant number, since it is smaller than the sum of its proper divisors (76240976192).

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

36770735808 is a wasteful number, since it uses less digits than its factorization.

36770735808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8820 (or 8804 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 36770735808 in words is "thirty-six billion, seven hundred seventy million, seven hundred thirty-five thousand, eight hundred eight".