677643520 has 72 divisors (see below), whose sum is σ = 1627678080. Its totient is φ = 270305280.

The previous prime is 677643469. The next prime is 677643521. The reversal of 677643520 is 25346776.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677643521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 807261 + ... + 808099.

It is an arithmetic number, because the mean of its divisors is an integer number (22606640).

Almost surely, 2^677643520 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 677643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813839040).

677643520 is an abundant number, since it is smaller than the sum of its proper divisors (950034560).

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

677643520 is an equidigital number, since it uses as much as digits as its factorization.

677643520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The square root of 677643520 is about 26031.5869666065. The cubic root of 677643520 is about 878.3489704409.

The spelling of 677643520 in words is "six hundred seventy-seven million, six hundred forty-three thousand, five hundred twenty".