677657756776 has 128 divisors (see below), whose sum is σ = 1706970101760. Its totient is φ = 243573292800.

The previous prime is 677657756771. The next prime is 677657756801.

677657756776 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (677657756771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14479125 + ... + 14525851.

It is an arithmetic number, because the mean of its divisors is an integer number (13335703920).

Almost surely, 2^677657756776 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 677657756776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853485050880).

677657756776 is an abundant number, since it is smaller than the sum of its proper divisors (1029312344984).

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

677657756776 is a wasteful number, since it uses less digits than its factorization.

677657756776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48575 (or 48571 counting only the distinct ones).

The product of its digits is 3811827600, while the sum is 76.

The spelling of 677657756776 in words is "six hundred seventy-seven billion, six hundred fifty-seven million, seven hundred fifty-six thousand, seven hundred seventy-six".