4605310080 has 800 divisors, whose sum is σ = 19704866940. Its totient is φ = 1024192512.

The previous prime is 4605310063. The next prime is 4605310091. The reversal of 4605310080 is 800135064.

It can be written as a sum of positive squares in 2 ways, for example, as 4493289024 + 112021056 = 67032^2 + 10584^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 124467822 + ... + 124467858.

Almost surely, 2^4605310080 is an apocalyptic number.

4605310080 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 4605310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9852433470).

4605310080 is an abundant number, since it is smaller than the sum of its proper divisors (15099556860).

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

4605310080 is an frugal number, since it uses more digits than its factorization.

4605310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4605310080 is about 67862.4349695765. The cubic root of 4605310080 is about 1663.7431956999.

The spelling of 4605310080 in words is "four billion, six hundred five million, three hundred ten thousand, eighty".