4801680000 has 960 divisors, whose sum is σ = 20297877600. Its totient is φ = 1119744000.

The previous prime is 4801679951. The next prime is 4801680007. The reversal of 4801680000 is 861084.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4801680000² = 46112261644800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4801680007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 252719991 + ... + 252720009.

Almost surely, 2^4801680000 is an apocalyptic number.

4801680000 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 4801680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10148938800).

4801680000 is an abundant number, since it is smaller than the sum of its proper divisors (15496197600).

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

4801680000 is an equidigital number, since it uses as much as digits as its factorization.

4801680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4801680000 is about 69294.1555977126. The cubic root of 4801680000 is about 1687.0621086031.

The spelling of 4801680000 in words is "four billion, eight hundred one million, six hundred eighty thousand".