4608576000 has 800 divisors, whose sum is σ = 19773591552. Its totient is φ = 1045094400.

The previous prime is 4608575999. The next prime is 4608576001. The reversal of 4608576000 is 6758064.

It is a happy number.

4608576000 is a `hidden beast` number, since 46 + 0 + 8 + 5 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4608575999) and next prime (4608576001).

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4608576001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36287937 + ... + 36288063.

Almost surely, 2^4608576000 is an apocalyptic number.

4608576000 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 4608576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9886795776).

4608576000 is an abundant number, since it is smaller than the sum of its proper divisors (15165015552).

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

4608576000 is an equidigital number, since it uses as much as digits as its factorization.

4608576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4608576000 is about 67886.4935020214. The cubic root of 4608576000 is about 1664.1363916802.

The spelling of 4608576000 in words is "four billion, six hundred eight million, five hundred seventy-six thousand".