677553984 has 168 divisors, whose sum is σ = 2120940640. Its totient is φ = 213871104.

The previous prime is 677553937. The next prime is 677554001. The reversal of 677553984 is 489355776.

677553984 is a `hidden beast` number, since 6 + 7 + 7 + 553 + 9 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 677553984.

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 23 ways as a sum of consecutive naturals, for example, 294342 + ... + 296634.

Almost surely, 2^677553984 is an apocalyptic number.

677553984 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 677553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060470320).

677553984 is an abundant number, since it is smaller than the sum of its proper divisors (1443386656).

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

677553984 is a wasteful number, since it uses less digits than its factorization.

677553984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2317 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 677553984 is about 26029.8671529457. The cubic root of 677553984 is about 878.3102837691.

The spelling of 677553984 in words is "six hundred seventy-seven million, five hundred fifty-three thousand, nine hundred eighty-four".