5762983680 has 432 divisors, whose sum is σ = 21761977440. Its totient is φ = 1443889152.

The previous prime is 5762983679. The next prime is 5762983693. The reversal of 5762983680 is 863892675.

It is a happy number.

5762983680 is a `hidden beast` number, since 5 + 7 + 629 + 8 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9987552 + ... + 9988128.

Almost surely, 2^5762983680 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 5762983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10880988720).

5762983680 is an abundant number, since it is smaller than the sum of its proper divisors (15998993760).

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

5762983680 is a wasteful number, since it uses less digits than its factorization.

5762983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 5762983680 is about 75914.3180170908. The cubic root of 5762983680 is about 1792.8713608830.

The spelling of 5762983680 in words is "five billion, seven hundred sixty-two million, nine hundred eighty-three thousand, six hundred eighty".