4568457600 has 1152 divisors, whose sum is σ = 20835809280. Its totient is φ = 928972800.

The previous prime is 4568457587. The next prime is 4568457629. The reversal of 4568457600 is 67548654.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 106243179 + ... + 106243221.

It is an arithmetic number, because the mean of its divisors is an integer number (18086640).

Almost surely, 2^4568457600 is an apocalyptic number.

4568457600 is a gapful number since it is divisible by the number (40) 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 4568457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417904640).

4568457600 is an abundant number, since it is smaller than the sum of its proper divisors (16267351680).

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

4568457600 is a wasteful number, since it uses less digits than its factorization.

4568457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 4568457600 is about 67590.3661774369. The cubic root of 4568457600 is about 1659.2934526408.

The spelling of 4568457600 in words is "four billion, five hundred sixty-eight million, four hundred fifty-seven thousand, six hundred".