4800801984 has 224 divisors, whose sum is σ = 14492874240. Its totient is φ = 1389158400.

The previous prime is 4800801977. The next prime is 4800802001. The reversal of 4800801984 is 4891080084.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6308164 + ... + 6308924.

Almost surely, 2^4800801984 is an apocalyptic number.

4800801984 is a gapful number since it is divisible by the number (44) 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 4800801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246437120).

4800801984 is an abundant number, since it is smaller than the sum of its proper divisors (9692072256).

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

4800801984 is a wasteful number, since it uses less digits than its factorization.

4800801984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 4800801984 is about 69287.8198819966. The cubic root of 4800801984 is about 1686.9592725249.

The spelling of 4800801984 in words is "four billion, eight hundred million, eight hundred one thousand, nine hundred eighty-four".