677836062864 has 405 divisors, whose sum is σ = 2106344484153. Its totient is φ = 203442700032.

The previous prime is 677836062823. The next prime is 677836062901. The reversal of 677836062864 is 468260638776.

The square root of 677836062864 is 823308.

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., 198684147600 + 479151915264 = 445740^2 + 692208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4317427074 + ... + 4317427230.

Almost surely, 2^677836062864 is an apocalyptic number.

677836062864 is the 823308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677836062864

677836062864 is an abundant number, since it is smaller than the sum of its proper divisors (1428508421289).

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

677836062864 is a wasteful number, since it uses less digits than its factorization.

677836062864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 677836062864 in words is "six hundred seventy-seven billion, eight hundred thirty-six million, sixty-two thousand, eight hundred sixty-four".