57791396736 has 384 divisors, whose sum is σ = 177348787200. Its totient is φ = 18034458624.

The previous prime is 57791396731. The next prime is 57791396749. The reversal of 57791396736 is 63769319775.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (45008460) is a multiple of the sum of its prime factors (486).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57791396731) 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 47 ways as a sum of consecutive naturals, for example, 224869120 + ... + 224869376.

It is an arithmetic number, because the mean of its divisors is an integer number (461845800).

Almost surely, 2^57791396736 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 57791396736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88674393600).

57791396736 is an abundant number, since it is smaller than the sum of its proper divisors (119557390464).

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

57791396736 is a wasteful number, since it uses less digits than its factorization.

57791396736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

The product of its digits is 45008460, while the sum is 63.

It can be divided in two parts, 5779139 and 6736, that added together give a palindrome (5785875).

The spelling of 57791396736 in words is "fifty-seven billion, seven hundred ninety-one million, three hundred ninety-six thousand, seven hundred thirty-six".