4880640000 has 480 divisors, whose sum is σ = 17193496320. Its totient is φ = 1228800000.

The previous prime is 4880639989. The next prime is 4880640001. The reversal of 4880640000 is 460884.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4880640000.

It is not an unprimeable number, because it can be changed into a prime (4880640001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119039980 + ... + 119040020.

It is an arithmetic number, because the mean of its divisors is an integer number (35819784).

Almost surely, 2^4880640000 is an apocalyptic number.

4880640000 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 4880640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596748160).

4880640000 is an abundant number, since it is smaller than the sum of its proper divisors (12312856320).

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

4880640000 is an equidigital number, since it uses as much as digits as its factorization.

4880640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4880640000 is about 69861.5774227866. The cubic root of 4880640000 is about 1696.2593646298.

The spelling of 4880640000 in words is "four billion, eight hundred eighty million, six hundred forty thousand".