4574759904 has 384 divisors, whose sum is σ = 15958978560. Its totient is φ = 1256601600.

The previous prime is 4574759879. The next prime is 4574759909. The reversal of 4574759904 is 4099574754.

4574759904 is a `hidden beast` number, since 4 + 5 + 7 + 47 + 599 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4574759909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7536369 + ... + 7536975.

It is an arithmetic number, because the mean of its divisors is an integer number (41559840).

Almost surely, 2^4574759904 is an apocalyptic number.

4574759904 is a gapful number since it is divisible by the number (44) 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 4574759904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979489280).

4574759904 is an abundant number, since it is smaller than the sum of its proper divisors (11384218656).

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

4574759904 is a wasteful number, since it uses less digits than its factorization.

4574759904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 4574759904 is about 67636.9714283542. The cubic root of 4574759904 is about 1660.0561146173.

The spelling of 4574759904 in words is "four billion, five hundred seventy-four million, seven hundred fifty-nine thousand, nine hundred four".