677361564 has 72 divisors (see below), whose sum is σ = 1872299520. Its totient is φ = 204775200.

The previous prime is 677361539. The next prime is 677361577. The reversal of 677361564 is 465163776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187899 + ... + 191469.

It is an arithmetic number, because the mean of its divisors is an integer number (26004160).

Almost surely, 2^677361564 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 677361564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936149760).

677361564 is an abundant number, since it is smaller than the sum of its proper divisors (1194937956).

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

677361564 is a wasteful number, since it uses less digits than its factorization.

677361564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4066 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 677361564 is about 26026.1707517645. The cubic root of 677361564 is about 878.2271314939.

The spelling of 677361564 in words is "six hundred seventy-seven million, three hundred sixty-one thousand, five hundred sixty-four".