7968656700 has 216 divisors, whose sum is σ = 25927337072. Its totient is φ = 2045399040.

The previous prime is 7968656693. The next prime is 7968656701. The reversal of 7968656700 is 76568697.

It is a happy number.

7968656700 is a `hidden beast` number, since 79 + 6 + 8 + 6 + 567 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968656701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3228867 + ... + 3231333.

Almost surely, 2^7968656700 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 7968656700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963668536).

7968656700 is an abundant number, since it is smaller than the sum of its proper divisors (17958680372).

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

7968656700 is a wasteful number, since it uses less digits than its factorization.

7968656700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7968656700 is about 89267.3327707286. The cubic root of 7968656700 is about 1997.3846397695.

The spelling of 7968656700 in words is "seven billion, nine hundred sixty-eight million, six hundred fifty-six thousand, seven hundred".