7971424000 has 72 divisors (see below), whose sum is σ = 19857893328. Its totient is φ = 3188556800.

The previous prime is 7971423991. The next prime is 7971424033. The reversal of 7971424000 is 4241797.

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 7 ways as a sum of consecutive naturals, for example, 92554 + ... + 156553.

It is an arithmetic number, because the mean of its divisors is an integer number (275804074).

Almost surely, 2^7971424000 is an apocalyptic number.

It is an amenable number.

7971424000 is an abundant number, since it is smaller than the sum of its proper divisors (11886469328).

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

7971424000 is an equidigital number, since it uses as much as digits as its factorization.

7971424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249138 (or 249114 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 7971424000 is about 89282.8314963185. The cubic root of 7971424000 is about 1997.6158256524.

Adding to 7971424000 its reverse (4241797), we get a palindrome (7975665797).

The spelling of 7971424000 in words is "seven billion, nine hundred seventy-one million, four hundred twenty-four thousand".