677105162496 has 729 divisors, whose sum is σ = 2376698800203. Its totient is φ = 184848168960.

The previous prime is 677105162483. The next prime is 677105162509. The reversal of 677105162496 is 694261501776.

The square root of 677105162496 is 822864.

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

677105162496 is a `hidden beast` number, since 6 + 7 + 7 + 1 + 0 + 5 + 1 + 624 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (677105162483) and next prime (677105162509).

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, 8570951385 + ... + 8570951463.

Almost surely, 2^677105162496 is an apocalyptic number.

677105162496 is the 822864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677105162496

677105162496 is an abundant number, since it is smaller than the sum of its proper divisors (1699593637707).

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

677105162496 is an equidigital number, since it uses as much as digits as its factorization.

677105162496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 677105162496 in words is "six hundred seventy-seven billion, one hundred five million, one hundred sixty-two thousand, four hundred ninety-six".