5762424960 has 192 divisors, whose sum is σ = 19938372480. Its totient is φ = 1533560832.

The previous prime is 5762424953. The next prime is 5762424977. The reversal of 5762424960 is 694242675.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×5762424960³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5223769 + ... + 5224871.

It is an arithmetic number, because the mean of its divisors is an integer number (103845690).

Almost surely, 2^5762424960 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 5762424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9969186240).

5762424960 is an abundant number, since it is smaller than the sum of its proper divisors (14175947520).

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

5762424960 is a wasteful number, since it uses less digits than its factorization.

5762424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5762424960 is about 75910.6379896784. The cubic root of 5762424960 is about 1792.8134195158.

The spelling of 5762424960 in words is "five billion, seven hundred sixty-two million, four hundred twenty-four thousand, nine hundred sixty".