7683912960 has 288 divisors, whose sum is σ = 26829315072. Its totient is φ = 1865809920.

The previous prime is 7683912953. The next prime is 7683913021. The reversal of 7683912960 is 692193867.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2021782 + ... + 2025578.

It is an arithmetic number, because the mean of its divisors is an integer number (93157344).

Almost surely, 2^7683912960 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 7683912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13414657536).

7683912960 is an abundant number, since it is smaller than the sum of its proper divisors (19145402112).

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

7683912960 is a wasteful number, since it uses less digits than its factorization.

7683912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 7683912960 is about 87657.9315293260. The cubic root of 7683912960 is about 1973.3046785872.

The spelling of 7683912960 in words is "seven billion, six hundred eighty-three million, nine hundred twelve thousand, nine hundred sixty".