677463364776 has 64 divisors (see below), whose sum is σ = 1847809091520. Its totient is φ = 205271736320.

The previous prime is 677463364751. The next prime is 677463364783.

677463364776 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×677463364776² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 15 ways as a sum of consecutive naturals, for example, 2680936 + ... + 2922728.

It is an arithmetic number, because the mean of its divisors is an integer number (28872017055).

Almost surely, 2^677463364776 is an apocalyptic number.

677463364776 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

677463364776 is an abundant number, since it is smaller than the sum of its proper divisors (1170345726744).

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

677463364776 is a wasteful number, since it uses less digits than its factorization.

677463364776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252426 (or 252422 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 66.

The spelling of 677463364776 in words is "six hundred seventy-seven billion, four hundred sixty-three million, three hundred sixty-four thousand, seven hundred seventy-six".