36790334162400 has 576 divisors, whose sum is σ = 147417872652288. Its totient is φ = 7760769269760.

The previous prime is 36790334162389. The next prime is 36790334162453. The reversal of 36790334162400 is 426143309763.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36790334162400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1289200932 + ... + 1289229468.

It is an arithmetic number, because the mean of its divisors is an integer number (255933806688).

Almost surely, 2^{36790334162400} is an apocalyptic number.

36790334162400 is a gapful number since it is divisible by the number (30) 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 36790334162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73708936326144).

36790334162400 is an abundant number, since it is smaller than the sum of its proper divisors (110627538489888).

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

36790334162400 is a wasteful number, since it uses less digits than its factorization.

36790334162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34483 (or 34470 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 36790334162400 in words is "thirty-six trillion, seven hundred ninety billion, three hundred thirty-four million, one hundred sixty-two thousand, four hundred".