577938666816 has 896 divisors, whose sum is σ = 2079272448000. Its totient is φ = 153963307008.

The previous prime is 577938666803. The next prime is 577938666857. The reversal of 577938666816 is 618666839775.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1135439170 + ... + 1135439678.

Almost surely, 2^577938666816 is an apocalyptic number.

577938666816 is a gapful number since it is divisible by the number (56) 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 577938666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039636224000).

577938666816 is an abundant number, since it is smaller than the sum of its proper divisors (1501333781184).

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

577938666816 is a wasteful number, since it uses less digits than its factorization.

577938666816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 660 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 577938666816 in words is "five hundred seventy-seven billion, nine hundred thirty-eight million, six hundred sixty-six thousand, eight hundred sixteen".