5764414680 has 384 divisors, whose sum is σ = 20670552000. Its totient is φ = 1426360320.

The previous prime is 5764414679. The next prime is 5764414717. The reversal of 5764414680 is 864144675.

5764414680 is a `hidden beast` number, since 576 + 4 + 4 + 14 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86036007 + ... + 86036073.

Almost surely, 2^5764414680 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 5764414680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10335276000).

5764414680 is an abundant number, since it is smaller than the sum of its proper divisors (14906137320).

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

5764414680 is a wasteful number, since it uses less digits than its factorization.

5764414680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5764414680 is about 75923.7425315691. The cubic root of 5764414680 is about 1793.0197438929.

The spelling of 5764414680 in words is "five billion, seven hundred sixty-four million, four hundred fourteen thousand, six hundred eighty".