7968936430 has 64 divisors (see below), whose sum is σ = 17759064960. Its totient is φ = 2521988352.

The previous prime is 7968936407. The next prime is 7968936491. The reversal of 7968936430 is 346398697.

It is a super-2 number, since 2×7968936430² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 13.

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, 127882 + ... + 179698.

It is an arithmetic number, because the mean of its divisors is an integer number (277485390).

Almost surely, 2^7968936430 is an apocalyptic number.

7968936430 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7968936430 is an abundant number, since it is smaller than the sum of its proper divisors (9790128530).

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

7968936430 is a wasteful number, since it uses less digits than its factorization.

7968936430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51870 (or 51844 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The square root of 7968936430 is about 89268.8995675426. The cubic root of 7968936430 is about 1997.4080114154.

The spelling of 7968936430 in words is "seven billion, nine hundred sixty-eight million, nine hundred thirty-six thousand, four hundred thirty".