57676736880 has 400 divisors, whose sum is σ = 234528364224. Its totient is φ = 12861296640.

The previous prime is 57676736879. The next prime is 57676736881. The reversal of 57676736880 is 8863767675.

It is an interprime number because it is at equal distance from previous prime (57676736879) and next prime (57676736881).

It is a super-3 number, since 3×57676736880³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57676736881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1844254 + ... + 1875266.

Almost surely, 2^57676736880 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 57676736880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117264182112).

57676736880 is an abundant number, since it is smaller than the sum of its proper divisors (176851627344).

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

57676736880 is a wasteful number, since it uses less digits than its factorization.

57676736880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31086 (or 31071 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 57676736880 in words is "fifty-seven billion, six hundred seventy-six million, seven hundred thirty-six thousand, eight hundred eighty".