7997454720 has 384 divisors, whose sum is σ = 28484071200. Its totient is φ = 2066841600.

The previous prime is 7997454701. The next prime is 7997454737. The reversal of 7997454720 is 274547997.

7997454720 is a `hidden beast` number, since 7 + 9 + 9 + 74 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34323724 + ... + 34323956.

Almost surely, 2^7997454720 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 7997454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14242035600).

7997454720 is an abundant number, since it is smaller than the sum of its proper divisors (20486616480).

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

7997454720 is a wasteful number, since it uses less digits than its factorization.

7997454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 7997454720 is about 89428.4894203184. The cubic root of 7997454720 is about 1999.7878708347.

The spelling of 7997454720 in words is "seven billion, nine hundred ninety-seven million, four hundred fifty-four thousand, seven hundred twenty".