7963182720 has 192 divisors, whose sum is σ = 28945519200. Its totient is φ = 2011723776.

The previous prime is 7963182709. The next prime is 7963182737. The reversal of 7963182720 is 272813697.

7963182720 is a `hidden beast` number, since 7 + 9 + 631 + 8 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 73059 + ... + 145821.

Almost surely, 2^7963182720 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 7963182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14472759600).

7963182720 is an abundant number, since it is smaller than the sum of its proper divisors (20982336480).

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

7963182720 is a wasteful number, since it uses less digits than its factorization.

7963182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72807 (or 72792 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7963182720 is about 89236.6669032411. Note that the first 3 decimals coincide. The cubic root of 7963182720 is about 1996.9271746233.

The spelling of 7963182720 in words is "seven billion, nine hundred sixty-three million, one hundred eighty-two thousand, seven hundred twenty".