64553664 has 112 divisors (see below), whose sum is σ = 199916288. Its totient is φ = 17998848.

The previous prime is 64553647. The next prime is 64553689. The reversal of 64553664 is 46635546.

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 (39) coincides with the sum of the digits of its prime factors.

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, 57234 + ... + 58350.

Almost surely, 2^64553664 is an apocalyptic number.

64553664 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 64553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99958144).

64553664 is an abundant number, since it is smaller than the sum of its proper divisors (135362624).

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

64553664 is a wasteful number, since it uses less digits than its factorization.

64553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1172 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 64553664 is about 8034.5294821788. The cubic root of 64553664 is about 401.1501563478.

The spelling of 64553664 in words is "sixty-four million, five hundred fifty-three thousand, six hundred sixty-four".