677337394944 has 288 divisors, whose sum is σ = 2209603898880. Its totient is φ = 179878772736.

The previous prime is 677337394901. The next prime is 677337394967. The reversal of 677337394944 is 449493733776.

It is a congruent number.

It is an unprimeable number.

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, 5351074 + ... + 5476190.

It is an arithmetic number, because the mean of its divisors is an integer number (7672235760).

Almost surely, 2^677337394944 is an apocalyptic number.

677337394944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677337394944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104801949440).

677337394944 is an abundant number, since it is smaller than the sum of its proper divisors (1532266503936).

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

677337394944 is a wasteful number, since it uses less digits than its factorization.

677337394944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125215 (or 125201 counting only the distinct ones).

The product of its digits is 288054144, while the sum is 66.

The spelling of 677337394944 in words is "six hundred seventy-seven billion, three hundred thirty-seven million, three hundred ninety-four thousand, nine hundred forty-four".