4466880000 has 800 divisors, whose sum is σ = 18408107520. Its totient is φ = 1059840000.

The previous prime is 4466879981. The next prime is 4466880049. The reversal of 4466880000 is 886644.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95039977 + ... + 95040023.

Almost surely, 2^4466880000 is an apocalyptic number.

4466880000 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 4466880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9204053760).

4466880000 is an abundant number, since it is smaller than the sum of its proper divisors (13941227520).

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

4466880000 is an equidigital number, since it uses as much as digits as its factorization.

4466880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4466880000 is about 66834.7215150927. The cubic root of 4466880000 is about 1646.9032826308.

The spelling of 4466880000 in words is "four billion, four hundred sixty-six million, eight hundred eighty thousand".