7665968000 has 256 divisors, whose sum is σ = 20316441600. Its totient is φ = 2868480000.

The previous prime is 7665967997. The next prime is 7665968017. The reversal of 7665968000 is 8695667.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45903917 + ... + 45904083.

It is an arithmetic number, because the mean of its divisors is an integer number (79361100).

Almost surely, 2^7665968000 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 7665968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10158220800).

7665968000 is an abundant number, since it is smaller than the sum of its proper divisors (12650473600).

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

7665968000 is a wasteful number, since it uses less digits than its factorization.

7665968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 7665968000 is about 87555.5138183770. The cubic root of 7665968000 is about 1971.7673335896.

The spelling of 7665968000 in words is "seven billion, six hundred sixty-five million, nine hundred sixty-eight thousand".