553775664 has 80 divisors (see below), whose sum is σ = 1561865312. Its totient is φ = 168044544.

The previous prime is 553775639. The next prime is 553775671. The reversal of 553775664 is 466577355.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 39474 + ... + 51630.

Almost surely, 2^553775664 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 553775664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780932656).

553775664 is an abundant number, since it is smaller than the sum of its proper divisors (1008089648).

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

553775664 is a wasteful number, since it uses less digits than its factorization.

553775664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12254 (or 12248 counting only the distinct ones).

The product of its digits is 2646000, while the sum is 48.

The square root of 553775664 is about 23532.4385476729. The cubic root of 553775664 is about 821.1918342028.

The spelling of 553775664 in words is "five hundred fifty-three million, seven hundred seventy-five thousand, six hundred sixty-four".