677466664776 has 72 divisors (see below), whose sum is σ = 2016769763190. Its totient is φ = 205292926080.

The previous prime is 677466664691. The next prime is 677466664843.

677466664776 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 617994087876 + 59472576900 = 786126^2 + 243870^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×677466664776² (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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38872525 + ... + 38889948.

Almost surely, 2^677466664776 is an apocalyptic number.

677466664776 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

677466664776 is an abundant number, since it is smaller than the sum of its proper divisors (1339303098414).

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

677466664776 is a wasteful number, since it uses less digits than its factorization.

677466664776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77762507 (or 77762489 counting only the distinct ones).

The product of its digits is 1792336896, while the sum is 72.

The spelling of 677466664776 in words is "six hundred seventy-seven billion, four hundred sixty-six million, six hundred sixty-four thousand, seven hundred seventy-six".