7982027456 has 112 divisors (see below), whose sum is σ = 17858232000. Its totient is φ = 3512205312.

The previous prime is 7982027429. The next prime is 7982027461. The reversal of 7982027456 is 6547202897.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8591600 + ... + 8592528.

It is an arithmetic number, because the mean of its divisors is an integer number (159448500).

Almost surely, 2^7982027456 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 7982027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8929116000).

7982027456 is an abundant number, since it is smaller than the sum of its proper divisors (9876204544).

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

7982027456 is a wasteful number, since it uses less digits than its factorization.

7982027456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The square root of 7982027456 is about 89342.1930333031. The cubic root of 7982027456 is about 1998.5011650275.

The spelling of 7982027456 in words is "seven billion, nine hundred eighty-two million, twenty-seven thousand, four hundred fifty-six".