57676783320 has 512 divisors, whose sum is σ = 220689100800. Its totient is φ = 13273030656.

The previous prime is 57676783319. The next prime is 57676783321. The reversal of 57676783320 is 2338767675.

57676783320 is a `hidden beast` number, since 576 + 7 + 67 + 8 + 3 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57676783319) and next prime (57676783321).

It is a super-2 number, since 2×57676783320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57676783321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39858837 + ... + 39860283.

It is an arithmetic number, because the mean of its divisors is an integer number (431033400).

Almost surely, 2^57676783320 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 57676783320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110344550400).

57676783320 is an abundant number, since it is smaller than the sum of its proper divisors (163012317480).

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

57676783320 is a wasteful number, since it uses less digits than its factorization.

57676783320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 57676783320 in words is "fifty-seven billion, six hundred seventy-six million, seven hundred eighty-three thousand, three hundred twenty".