553205664 has 288 divisors, whose sum is σ = 1826592768. Its totient is φ = 157248000.

The previous prime is 553205641. The next prime is 553205677. The reversal of 553205664 is 466502355.

It is a happy number.

553205664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4222879 + ... + 4223009.

It is an arithmetic number, because the mean of its divisors is an integer number (6342336).

Almost surely, 2^553205664 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 553205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913296384).

553205664 is an abundant number, since it is smaller than the sum of its proper divisors (1273387104).

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

553205664 is a wasteful number, since it uses less digits than its factorization.

553205664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 553205664 is about 23520.3244875576. The cubic root of 553205664 is about 820.9099871990.

The spelling of 553205664 in words is "five hundred fifty-three million, two hundred five thousand, six hundred sixty-four".