7696435968 has 432 divisors, whose sum is σ = 25665575936. Its totient is φ = 2284277760.

The previous prime is 7696435961. The next prime is 7696436009. The reversal of 7696435968 is 8695346967.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (7696435961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25069671 + ... + 25069977.

Almost surely, 2^7696435968 is an apocalyptic number.

7696435968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7696435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832787968).

7696435968 is an abundant number, since it is smaller than the sum of its proper divisors (17969139968).

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

7696435968 is a wasteful number, since it uses less digits than its factorization.

7696435968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 356 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The square root of 7696435968 is about 87729.3335663733. Note that the first 3 decimals coincide. The cubic root of 7696435968 is about 1974.3761074173.

The spelling of 7696435968 in words is "seven billion, six hundred ninety-six million, four hundred thirty-five thousand, nine hundred sixty-eight".