677633336776 has 64 divisors (see below), whose sum is σ = 1431790940160. Its totient is φ = 297868584000.

The previous prime is 677633336741. The next prime is 677633336827.

It is a happy number.

677633336776 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×677633336776² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3805821 + ... + 3979891.

It is an arithmetic number, because the mean of its divisors is an integer number (22371733440).

Almost surely, 2^677633336776 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 677633336776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715895470080).

677633336776 is an abundant number, since it is smaller than the sum of its proper divisors (754157603384).

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

677633336776 is a wasteful number, since it uses less digits than its factorization.

677633336776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175546 (or 175542 counting only the distinct ones).

The product of its digits is 252047376, while the sum is 64.

The spelling of 677633336776 in words is "six hundred seventy-seven billion, six hundred thirty-three million, three hundred thirty-six thousand, seven hundred seventy-six".