7997123424 has 96 divisors (see below), whose sum is σ = 21388631040. Its totient is φ = 2615616000.

The previous prime is 7997123423. The next prime is 7997123443. The reversal of 7997123424 is 4243217997.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7997123423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2803599 + ... + 2806449.

It is an arithmetic number, because the mean of its divisors is an integer number (222798240).

Almost surely, 2^7997123424 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 7997123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10694315520).

7997123424 is an abundant number, since it is smaller than the sum of its proper divisors (13391507616).

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

7997123424 is a wasteful number, since it uses less digits than its factorization.

7997123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3396 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 7997123424 is about 89426.6371055068. The cubic root of 7997123424 is about 1999.7602565960.

The spelling of 7997123424 in words is "seven billion, nine hundred ninety-seven million, one hundred twenty-three thousand, four hundred twenty-four".