4579825968 has 160 divisors (see below), whose sum is σ = 13967360000. Its totient is φ = 1432712448.

The previous prime is 4579825967. The next prime is 4579825969. The reversal of 4579825968 is 8695289754.

4579825968 is a `hidden beast` number, since 4 + 579 + 8 + 2 + 59 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4579825967) and next prime (4579825969).

It is not an unprimeable number, because it can be changed into a prime (4579825967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892113 + ... + 897231.

It is an arithmetic number, because the mean of its divisors is an integer number (87296000).

Almost surely, 2^4579825968 is an apocalyptic number.

4579825968 is a gapful number since it is divisible by the number (48) 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 4579825968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983680000).

4579825968 is an abundant number, since it is smaller than the sum of its proper divisors (9387534032).

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

4579825968 is a wasteful number, since it uses less digits than its factorization.

4579825968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5252 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The square root of 4579825968 is about 67674.4114713974. The cubic root of 4579825968 is about 1660.6686675693.

The spelling of 4579825968 in words is "four billion, five hundred seventy-nine million, eight hundred twenty-five thousand, nine hundred sixty-eight".