5764385952 has 192 divisors, whose sum is σ = 18161861760. Its totient is φ = 1768200192.

The previous prime is 5764385929. The next prime is 5764385981. The reversal of 5764385952 is 2595834675.

5764385952 is a `hidden beast` number, since 5 + 7 + 6 + 43 + 8 + 595 + 2 = 666.

It is a super-2 number, since 2×5764385952² = 66456290807229892608, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5132463 + ... + 5133585.

It is an arithmetic number, because the mean of its divisors is an integer number (94593030).

Almost surely, 2^5764385952 is an apocalyptic number.

5764385952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5764385952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080930880).

5764385952 is an abundant number, since it is smaller than the sum of its proper divisors (12397475808).

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

5764385952 is a wasteful number, since it uses less digits than its factorization.

5764385952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1598 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 5764385952 is about 75923.5533415027. The cubic root of 5764385952 is about 1793.0167652756.

The spelling of 5764385952 in words is "five billion, seven hundred sixty-four million, three hundred eighty-five thousand, nine hundred fifty-two".