7873975296 has 396 divisors, whose sum is σ = 26162232096. Its totient is φ = 2274877440.

The previous prime is 7873975271. The next prime is 7873975301. The reversal of 7873975296 is 6925793787.

7873975296 is a `hidden beast` number, since 78 + 7 + 39 + 7 + 529 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

Its product of digits (40007520) is a multiple of the sum of its prime factors (378).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25647975 + ... + 25648281.

Almost surely, 2^7873975296 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 7873975296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081116048).

7873975296 is an abundant number, since it is smaller than the sum of its proper divisors (18288256800).

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

7873975296 is a wasteful number, since it uses less digits than its factorization.

7873975296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 346 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The square root of 7873975296 is about 88735.4230056971. The cubic root of 7873975296 is about 1989.4423069598.

The spelling of 7873975296 in words is "seven billion, eight hundred seventy-three million, nine hundred seventy-five thousand, two hundred ninety-six".