7988997456 has 120 divisors (see below), whose sum is σ = 24755019744. Its totient is φ = 2384743680.

The previous prime is 7988997449. The next prime is 7988997481. The reversal of 7988997456 is 6547998897.

7988997456 is a `hidden beast` number, since 7 + 9 + 8 + 89 + 97 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 68490 + ... + 143766.

Almost surely, 2^7988997456 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 7988997456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12377509872).

7988997456 is an abundant number, since it is smaller than the sum of its proper divisors (16766022288).

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

7988997456 is a wasteful number, since it uses less digits than its factorization.

7988997456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75369 (or 75360 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The square root of 7988997456 is about 89381.1918470547. The cubic root of 7988997456 is about 1999.0827006786.

The spelling of 7988997456 in words is "seven billion, nine hundred eighty-eight million, nine hundred ninety-seven thousand, four hundred fifty-six".