4680576000 has 528 divisors, whose sum is σ = 17933685120. Its totient is φ = 1169817600.

The previous prime is 4680575989. The next prime is 4680576049. The reversal of 4680576000 is 6750864.

It is a happy number.

4680576000 is a `hidden beast` number, since 4 + 6 + 80 + 576 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19583881 + ... + 19584119.

Almost surely, 2^4680576000 is an apocalyptic number.

4680576000 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 4680576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8966842560).

4680576000 is an abundant number, since it is smaller than the sum of its proper divisors (13253109120).

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

4680576000 is a wasteful number, since it uses less digits than its factorization.

4680576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 266 counting only the distinct ones).

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

The square root of 4680576000 is about 68414.7352549142. The cubic root of 4680576000 is about 1672.7579418104.

The spelling of 4680576000 in words is "four billion, six hundred eighty million, five hundred seventy-six thousand".