5753806464 has 128 divisors (see below), whose sum is σ = 17536982400. Its totient is φ = 1637351424.

The previous prime is 5753806441. The next prime is 5753806489. The reversal of 5753806464 is 4646083575.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 686652 + ... + 694980.

It is an arithmetic number, because the mean of its divisors is an integer number (137007675).

Almost surely, 2^5753806464 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 5753806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768491200).

5753806464 is an abundant number, since it is smaller than the sum of its proper divisors (11783175936).

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

5753806464 is a wasteful number, since it uses less digits than its factorization.

5753806464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8610 (or 8598 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The square root of 5753806464 is about 75853.8493683742. The cubic root of 5753806464 is about 1791.9191741819.

The spelling of 5753806464 in words is "five billion, seven hundred fifty-three million, eight hundred six thousand, four hundred sixty-four".