5762417760 has 480 divisors, whose sum is σ = 22498705152. Its totient is φ = 1377285120.

The previous prime is 5762417747. The next prime is 5762417761. The reversal of 5762417760 is 677142675.

5762417760 is a `hidden beast` number, since 5 + 7 + 624 + 17 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5762417761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11832237 + ... + 11832723.

Almost surely, 2^5762417760 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 5762417760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249352576).

5762417760 is an abundant number, since it is smaller than the sum of its proper divisors (16736287392).

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

5762417760 is a wasteful number, since it uses less digits than its factorization.

5762417760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 5762417760 is about 75910.5905654804. The cubic root of 5762417760 is about 1792.8126728243.

The spelling of 5762417760 in words is "five billion, seven hundred sixty-two million, four hundred seventeen thousand, seven hundred sixty".