677586816 has 256 divisors, whose sum is σ = 2232576000. Its totient is φ = 201056256.

The previous prime is 677586781. The next prime is 677586829. The reversal of 677586816 is 618685776.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 1115985 + ... + 1116591.

It is an arithmetic number, because the mean of its divisors is an integer number (8721000).

Almost surely, 2^677586816 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 677586816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116288000).

677586816 is an abundant number, since it is smaller than the sum of its proper divisors (1554989184).

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

677586816 is a wasteful number, since it uses less digits than its factorization.

677586816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 648 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 677586816 is about 26030.4978054589. The cubic root of 677586816 is about 878.3244701995.

The spelling of 677586816 in words is "six hundred seventy-seven million, five hundred eighty-six thousand, eight hundred sixteen".