7864983360 has 560 divisors, whose sum is σ = 31924758096. Its totient is φ = 1820786688.

The previous prime is 7864983289. The next prime is 7864983361. The reversal of 7864983360 is 633894687.

It can be written as a sum of positive squares in 8 ways, for example, as 375119424 + 7489863936 = 19368^2 + 86544^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7864983297 and 7864983306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7864983361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5727634 + ... + 5729006.

Almost surely, 2^7864983360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7864983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15962379048).

7864983360 is an abundant number, since it is smaller than the sum of its proper divisors (24059774736).

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

7864983360 is a wasteful number, since it uses less digits than its factorization.

7864983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 7864983360 is about 88684.7414158715. The cubic root of 7864983360 is about 1988.6847162400.

The spelling of 7864983360 in words is "seven billion, eight hundred sixty-four million, nine hundred eighty-three thousand, three hundred sixty".