4406503680 has 432 divisors, whose sum is σ = 16356447744. Its totient is φ = 1134673920.

The previous prime is 4406503679. The next prime is 4406503709. The reversal of 4406503680 is 863056044.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9642012 + ... + 9642468.

Almost surely, 2^4406503680 is an apocalyptic number.

4406503680 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 4406503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178223872).

4406503680 is an abundant number, since it is smaller than the sum of its proper divisors (11949944064).

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

4406503680 is an equidigital number, since it uses as much as digits as its factorization.

4406503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4406503680 is about 66381.5010375632. The cubic root of 4406503680 is about 1639.4495078825.

The spelling of 4406503680 in words is "four billion, four hundred six million, five hundred three thousand, six hundred eighty".