7683768000 has 224 divisors, whose sum is σ = 28191683520. Its totient is φ = 2048947200.

The previous prime is 7683767999. The next prime is 7683768007. The reversal of 7683768000 is 8673867.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7683768007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198214 + ... + 233786.

It is an arithmetic number, because the mean of its divisors is an integer number (125855730).

Almost surely, 2^7683768000 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 7683768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14095841760).

7683768000 is an abundant number, since it is smaller than the sum of its proper divisors (20507915520).

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

7683768000 is a wasteful number, since it uses less digits than its factorization.

7683768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35609 (or 35583 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7683768000 is about 87657.1046749777. The cubic root of 7683768000 is about 1973.2922694563.

The spelling of 7683768000 in words is "seven billion, six hundred eighty-three million, seven hundred sixty-eight thousand".