5768418432 has 128 divisors (see below), whose sum is σ = 17575464960. Its totient is φ = 1642079232.

The previous prime is 5768418389. The next prime is 5768418473. The reversal of 5768418432 is 2348148675.

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, 756913 + ... + 764495.

It is an arithmetic number, because the mean of its divisors is an integer number (137308320).

Almost surely, 2^5768418432 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 5768418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787732480).

5768418432 is an abundant number, since it is smaller than the sum of its proper divisors (11807046528).

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

5768418432 is a wasteful number, since it uses less digits than its factorization.

5768418432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7890 (or 7878 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 5768418432 is about 75950.1048847202. The cubic root of 5768418432 is about 1793.4347698397.

The spelling of 5768418432 in words is "five billion, seven hundred sixty-eight million, four hundred eighteen thousand, four hundred thirty-two".