5764875480 has 576 divisors, whose sum is σ = 24514176960. Its totient is φ = 1162377216.

The previous prime is 5764875469. The next prime is 5764875497. The reversal of 5764875480 is 845784675.

5764875480 is a `hidden beast` number, since 57 + 6 + 48 + 7 + 548 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5273814 + ... + 5274906.

It is an arithmetic number, because the mean of its divisors is an integer number (42559335).

Almost surely, 2^5764875480 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 5764875480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257088480).

5764875480 is an abundant number, since it is smaller than the sum of its proper divisors (18749301480).

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

5764875480 is a wasteful number, since it uses less digits than its factorization.

5764875480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The square root of 5764875480 is about 75926.7770947773. Note that the first 3 decimals coincide. The cubic root of 5764875480 is about 1793.0675198615.

The spelling of 5764875480 in words is "five billion, seven hundred sixty-four million, eight hundred seventy-five thousand, four hundred eighty".