677941824 has 112 divisors (see below), whose sum is σ = 2105525888. Its totient is φ = 188448768.

The previous prime is 677941811. The next prime is 677941843. The reversal of 677941824 is 428149776.

677941824 = 383² + 384² + ... + 1278².

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42912 + ... + 56544.

Almost surely, 2^677941824 is an apocalyptic number.

677941824 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 677941824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052762944).

677941824 is an abundant number, since it is smaller than the sum of its proper divisors (1427584064).

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

677941824 is a wasteful number, since it uses less digits than its factorization.

677941824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13692 (or 13682 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 677941824 is about 26037.3159907084. The cubic root of 677941824 is about 878.4778369053.

The spelling of 677941824 in words is "six hundred seventy-seven million, nine hundred forty-one thousand, eight hundred twenty-four".