7985378667 has 32 divisors (see below), whose sum is σ = 12432140800. Its totient is φ = 4464875520.

The previous prime is 7985378657. The next prime is 7985378693. The reversal of 7985378667 is 7668735897.

It is not a de Polignac number, because 7985378667 - 2⁶ = 7985378603 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7985378598 and 7985378607.

It is not an unprimeable number, because it can be changed into a prime (7985378657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231084 + ... + 263382.

It is an arithmetic number, because the mean of its divisors is an integer number (388504400).

Almost surely, 2^7985378667 is an apocalyptic number.

7985378667 is a deficient number, since it is larger than the sum of its proper divisors (4446762133).

7985378667 is a wasteful number, since it uses less digits than its factorization.

7985378667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32563.

The product of its digits is 106686720, while the sum is 66.

The square root of 7985378667 is about 89360.9459831307. The cubic root of 7985378667 is about 1998.7808125253.

The spelling of 7985378667 in words is "seven billion, nine hundred eighty-five million, three hundred seventy-eight thousand, six hundred sixty-seven".