7968900135 has 64 divisors (see below), whose sum is σ = 15049036800. Its totient is φ = 3598842240.

The previous prime is 7968900131. The next prime is 7968900253. The reversal of 7968900135 is 5310098697.

It is not a de Polignac number, because 7968900135 - 2² = 7968900131 is a prime.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968900131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417705 + ... + 436365.

It is an arithmetic number, because the mean of its divisors is an integer number (235141200).

Almost surely, 2^7968900135 is an apocalyptic number.

7968900135 is a deficient number, since it is larger than the sum of its proper divisors (7080136665).

7968900135 is a wasteful number, since it uses less digits than its factorization.

7968900135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18773 (or 18759 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 7968900135 is about 89268.6962770265. The cubic root of 7968900135 is about 1997.4049789725.

The spelling of 7968900135 in words is "seven billion, nine hundred sixty-eight million, nine hundred thousand, one hundred thirty-five".