5283209664 has 224 divisors, whose sum is σ = 16297290240. Its totient is φ = 1675137024.

The previous prime is 5283209587. The next prime is 5283209671. The reversal of 5283209664 is 4669023825.

5283209664 is a `hidden beast` number, since 528 + 32 + 0 + 96 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12201192 + ... + 12201624.

It is an arithmetic number, because the mean of its divisors is an integer number (72755760).

Almost surely, 2^5283209664 is an apocalyptic number.

5283209664 is a gapful number since it is divisible by the number (54) 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 5283209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8148645120).

5283209664 is an abundant number, since it is smaller than the sum of its proper divisors (11014080576).

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

5283209664 is a wasteful number, since it uses less digits than its factorization.

5283209664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5283209664 is about 72685.6909164383. The cubic root of 5283209664 is about 1741.6703104625.

The spelling of 5283209664 in words is "five billion, two hundred eighty-three million, two hundred nine thousand, six hundred sixty-four".