7686293760 has 216 divisors, whose sum is σ = 27452914944. Its totient is φ = 1983467520.

The previous prime is 7686293743. The next prime is 7686293803. The reversal of 7686293760 is 673926867.

7686293760 is a `hidden beast` number, since 7 + 6 + 8 + 629 + 3 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×7686293760² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7686293697 and 7686293706.

It is a congruent number.

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, 346359 + ... + 367881.

Almost surely, 2^7686293760 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 7686293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13726457472).

7686293760 is an abundant number, since it is smaller than the sum of its proper divisors (19766621184).

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

7686293760 is a wasteful number, since it uses less digits than its factorization.

7686293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21581 (or 21564 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 7686293760 is about 87671.5105379165. The cubic root of 7686293760 is about 1973.5084618536.

The spelling of 7686293760 in words is "seven billion, six hundred eighty-six million, two hundred ninety-three thousand, seven hundred sixty".