36905365794816 has 624 divisors, whose sum is σ = 111671192505600. Its totient is φ = 12177846042624.

The previous prime is 36905365794727. The next prime is 36905365794821. The reversal of 36905365794816 is 61849756350963.

36905365794816 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 5 + 3 + 6 + 579 + 48 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63960772320 + ... + 63960772896.

It is an arithmetic number, because the mean of its divisors is an integer number (178960244400).

Almost surely, 2^{36905365794816} is an apocalyptic number.

36905365794816 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 36905365794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55835596252800).

36905365794816 is an abundant number, since it is smaller than the sum of its proper divisors (74765826710784).

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

36905365794816 is an equidigital number, since it uses as much as digits as its factorization.

36905365794816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 36905365794816 in words is "thirty-six trillion, nine hundred five billion, three hundred sixty-five million, seven hundred ninety-four thousand, eight hundred sixteen".