577308196864 has 207 divisors, whose sum is σ = 1368945164937. Its totient is φ = 242749538304.

The previous prime is 577308196831. The next prime is 577308196909. The reversal of 577308196864 is 468691803775.

The square root of 577308196864 is 759808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 416179814400 + 161128382464 = 645120^2 + 401408^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 577308196796 and 577308196805.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10892607462 + ... + 10892607514.

Almost surely, 2^577308196864 is an apocalyptic number.

577308196864 is the 759808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 577308196864

577308196864 is an abundant number, since it is smaller than the sum of its proper divisors (791636968073).

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

577308196864 is an frugal number, since it uses more digits than its factorization.

577308196864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

Multiplying 577308196864 by its sum of digits (64), we get a square (36947724599296 = 6078464²).

577308196864 divided by its sum of digits (64) gives a square (9020440576 = 94976²).

The spelling of 577308196864 in words is "five hundred seventy-seven billion, three hundred eight million, one hundred ninety-six thousand, eight hundred sixty-four".