562673664 has 288 divisors, whose sum is σ = 1916460000. Its totient is φ = 158957568.

The previous prime is 562673663. The next prime is 562673687. The reversal of 562673664 is 466376265.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562673663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6322132 + ... + 6322220.

It is an arithmetic number, because the mean of its divisors is an integer number (6654375).

Almost surely, 2^562673664 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 562673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958230000).

562673664 is an abundant number, since it is smaller than the sum of its proper divisors (1353786336).

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

562673664 is an equidigital number, since it uses as much as digits as its factorization.

562673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 562673664 is about 23720.7433273074. The cubic root of 562673664 is about 825.5667554668.

The spelling of 562673664 in words is "five hundred sixty-two million, six hundred seventy-three thousand, six hundred sixty-four".