677957758632 has 448 divisors, whose sum is σ = 2408834194560. Its totient is φ = 173672294400.

The previous prime is 677957758607. The next prime is 677957758697. The reversal of 677957758632 is 236857759776.

677957758632 is a `hidden beast` number, since 6 + 7 + 7 + 9 + 5 + 7 + 7 + 586 + 32 = 666.

It is a super-2 number, since 2×677957758632² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 32771332 + ... + 32792012.

Almost surely, 2^677957758632 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 677957758632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204417097280).

677957758632 is an abundant number, since it is smaller than the sum of its proper divisors (1730876435928).

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

677957758632 is a wasteful number, since it uses less digits than its factorization.

677957758632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20796 (or 20777 counting only the distinct ones).

The product of its digits is 933508800, while the sum is 72.

The spelling of 677957758632 in words is "six hundred seventy-seven billion, nine hundred fifty-seven million, seven hundred fifty-eight thousand, six hundred thirty-two".