7686561792 has 336 divisors, whose sum is σ = 25728911712. Its totient is φ = 2023096320.

The previous prime is 7686561769. The next prime is 7686561809. The reversal of 7686561792 is 2971656867.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15654667 + ... + 15655157.

It is an arithmetic number, because the mean of its divisors is an integer number (76574142).

Almost surely, 2^7686561792 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 7686561792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12864455856).

7686561792 is an abundant number, since it is smaller than the sum of its proper divisors (18042349920).

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

7686561792 is a wasteful number, since it uses less digits than its factorization.

7686561792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 516 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 57.

The square root of 7686561792 is about 87673.0391397492. The cubic root of 7686561792 is about 1973.5314012697.

The spelling of 7686561792 in words is "seven billion, six hundred eighty-six million, five hundred sixty-one thousand, seven hundred ninety-two".