4681056800 has 144 divisors (see below), whose sum is σ = 13089162240. Its totient is φ = 1601372160.

The previous prime is 4681056799. The next prime is 4681056803. The reversal of 4681056800 is 86501864.

It is not an unprimeable number, because it can be changed into a prime (4681056803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4305857 + ... + 4306943.

It is an arithmetic number, because the mean of its divisors is an integer number (90896960).

Almost surely, 2^4681056800 is an apocalyptic number.

4681056800 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 4681056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544581120).

4681056800 is an abundant number, since it is smaller than the sum of its proper divisors (8408105440).

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

4681056800 is a wasteful number, since it uses less digits than its factorization.

4681056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 4681056800 is about 68418.2490275804. The cubic root of 4681056800 is about 1672.8152164194.

The spelling of 4681056800 in words is "four billion, six hundred eighty-one million, fifty-six thousand, eight hundred".