4315680000 has 630 divisors, whose sum is σ = 16575845594. Its totient is φ = 1119744000.

The previous prime is 4315679999. The next prime is 4315680001. The reversal of 4315680000 is 865134.

It is an interprime number because it is at equal distance from previous prime (4315679999) and next prime (4315680001).

It can be written as a sum of positive squares in 5 ways, for example, as 812934144 + 3502745856 = 28512^2 + 59184^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4315680001) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 116639982 + ... + 116640018.

Almost surely, 2^4315680000 is an apocalyptic number.

4315680000 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 4315680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287922797).

4315680000 is an abundant number, since it is smaller than the sum of its proper divisors (12260165594).

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

4315680000 is an frugal number, since it uses more digits than its factorization.

4315680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

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

The square root of 4315680000 is about 65693.8353272208. The cubic root of 4315680000 is about 1628.1075053718.

The spelling of 4315680000 in words is "four billion, three hundred fifteen million, six hundred eighty thousand".