7971199224 has 128 divisors (see below), whose sum is σ = 21482496000. Its totient is φ = 2455824384.

The previous prime is 7971199177. The next prime is 7971199237. The reversal of 7971199224 is 4229911797.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7187182 + ... + 7188290.

It is an arithmetic number, because the mean of its divisors is an integer number (167832000).

Almost surely, 2^7971199224 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 7971199224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10741248000).

7971199224 is an abundant number, since it is smaller than the sum of its proper divisors (13511296776).

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

7971199224 is a wasteful number, since it uses less digits than its factorization.

7971199224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1433 counting only the distinct ones).

The product of its digits is 571536, while the sum is 51.

The square root of 7971199224 is about 89281.5727012019. The cubic root of 7971199224 is about 1997.5970494038.

It can be divided in two parts, 797 and 1199224, that added together give a palindrome (1200021).

The spelling of 7971199224 in words is "seven billion, nine hundred seventy-one million, one hundred ninety-nine thousand, two hundred twenty-four".