5764024000 has 112 divisors (see below), whose sum is σ = 16313993280. Its totient is φ = 1976217600.

The previous prime is 5764023971. The next prime is 5764024037. The reversal of 5764024000 is 4204675.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5764024000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4536 + ... + 107464.

Almost surely, 2^5764024000 is an apocalyptic number.

5764024000 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 5764024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156996640).

5764024000 is an abundant number, since it is smaller than the sum of its proper divisors (10549969280).

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

5764024000 is a wasteful number, since it uses less digits than its factorization.

5764024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102963 (or 102943 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 5764024000 is about 75921.1696432556. The cubic root of 5764024000 is about 1792.9792360057.

Adding to 5764024000 its reverse (4204675), we get a palindrome (5768228675).

The spelling of 5764024000 in words is "five billion, seven hundred sixty-four million, twenty-four thousand".