5764932000 has 384 divisors, whose sum is σ = 21275654400. Its totient is φ = 1534982400.

The previous prime is 5764931981. The next prime is 5764932023. The reversal of 5764932000 is 2394675.

5764932000 is a `hidden beast` number, since 5 + 7 + 649 + 3 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8747671 + ... + 8748329.

It is an arithmetic number, because the mean of its divisors is an integer number (55405350).

Almost surely, 2^5764932000 is an apocalyptic number.

5764932000 is a gapful number since it is divisible by the number (50) 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 5764932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10637827200).

5764932000 is an abundant number, since it is smaller than the sum of its proper divisors (15510722400).

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

5764932000 is an frugal number, since it uses more digits than its factorization.

5764932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5764932000 is about 75927.1492945705. The cubic root of 5764932000 is about 1793.0733797073.

The spelling of 5764932000 in words is "five billion, seven hundred sixty-four million, nine hundred thirty-two thousand".