658649664 has 112 divisors (see below), whose sum is σ = 1965553600. Its totient is φ = 216235008.

The previous prime is 658649659. The next prime is 658649701. The reversal of 658649664 is 466946856.

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 658649664.

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, 112932 + ... + 118620.

Almost surely, 2^658649664 is an apocalyptic number.

658649664 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 658649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982776800).

658649664 is an abundant number, since it is smaller than the sum of its proper divisors (1306903936).

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

658649664 is a wasteful number, since it uses less digits than its factorization.

658649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5761 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 658649664 is about 25664.1708223741. The cubic root of 658649664 is about 870.0645849795.

The spelling of 658649664 in words is "six hundred fifty-eight million, six hundred forty-nine thousand, six hundred sixty-four".