4458680640 has 448 divisors, whose sum is σ = 16675729920. Its totient is φ = 1133180928.

The previous prime is 4458680591. The next prime is 4458680659. The reversal of 4458680640 is 460868544.

4458680640 is a `hidden beast` number, since 4 + 4 + 586 + 8 + 0 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16096182 + ... + 16096458.

Almost surely, 2^4458680640 is an apocalyptic number.

4458680640 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 4458680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337864960).

4458680640 is an abundant number, since it is smaller than the sum of its proper divisors (12217049280).

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

4458680640 is an equidigital number, since it uses as much as digits as its factorization.

4458680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4458680640 is about 66773.3527689003. The cubic root of 4458680640 is about 1645.8949857387.

The spelling of 4458680640 in words is "four billion, four hundred fifty-eight million, six hundred eighty thousand, six hundred forty".