7686741920 has 288 divisors, whose sum is σ = 21987370944. Its totient is φ = 2515968000.

The previous prime is 7686741911. The next prime is 7686741961. The reversal of 7686741920 is 291476867.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12789620 + ... + 12790220.

It is an arithmetic number, because the mean of its divisors is an integer number (76345038).

Almost surely, 2^7686741920 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 7686741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10993685472).

7686741920 is an abundant number, since it is smaller than the sum of its proper divisors (14300629024).

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

7686741920 is a wasteful number, since it uses less digits than its factorization.

7686741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The square root of 7686741920 is about 87674.0664050664. The cubic root of 7686741920 is about 1973.5468171560.

The spelling of 7686741920 in words is "seven billion, six hundred eighty-six million, seven hundred forty-one thousand, nine hundred twenty".