568749600 has 360 divisors, whose sum is σ = 2121145488. Its totient is φ = 148262400.

The previous prime is 568749563. The next prime is 568749611. The reversal of 568749600 is 6947865.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×568749600² = 646952215000320000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4341535 + ... + 4341665.

Almost surely, 2^568749600 is an apocalyptic number.

568749600 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 568749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060572744).

568749600 is an abundant number, since it is smaller than the sum of its proper divisors (1552395888).

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

568749600 is a wasteful number, since it uses less digits than its factorization.

568749600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 568749600 is about 23848.4716491435. The cubic root of 568749600 is about 828.5277039380.

The spelling of 568749600 in words is "five hundred sixty-eight million, seven hundred forty-nine thousand, six hundred".