36770084352 has 160 divisors (see below), whose sum is σ = 110377935360. Its totient is φ = 12083742720.

The previous prime is 36770084333. The next prime is 36770084353. The reversal of 36770084352 is 25348007763.

It is a junction number, because it is equal to n+sod(n) for n = 36770084298 and 36770084307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36770084353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962773 + ... + 1000235.

It is an arithmetic number, because the mean of its divisors is an integer number (689862096).

Almost surely, 2^36770084352 is an apocalyptic number.

36770084352 is a gapful number since it is divisible by the number (32) 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 36770084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55188967680).

36770084352 is an abundant number, since it is smaller than the sum of its proper divisors (73607851008).

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

36770084352 is an equidigital number, since it uses as much as digits as its factorization.

36770084352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37561 (or 37539 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 36770084352 in words is "thirty-six billion, seven hundred seventy million, eighty-four thousand, three hundred fifty-two".