677816064 has 108 divisors (see below), whose sum is σ = 1972971000. Its totient is φ = 223782912.

The previous prime is 677816039. The next prime is 677816071. The reversal of 677816064 is 460618776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249787 + ... + 252485.

It is an arithmetic number, because the mean of its divisors is an integer number (18268250).

Almost surely, 2^677816064 is an apocalyptic number.

677816064 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 677816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986485500).

677816064 is an abundant number, since it is smaller than the sum of its proper divisors (1295154936).

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

677816064 is a wasteful number, since it uses less digits than its factorization.

677816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 677816064 is about 26034.9008832375. The cubic root of 677816064 is about 878.4235135593.

The spelling of 677816064 in words is "six hundred seventy-seven million, eight hundred sixteen thousand, sixty-four".