7982544960 has 168 divisors, whose sum is σ = 29568815640. Its totient is φ = 1964924928.

The previous prime is 7982544953. The next prime is 7982544991. The reversal of 7982544960 is 694452897.

7982544960 is a `hidden beast` number, since 7 + 9 + 8 + 2 + 544 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 534164544 + 7448380416 = 23112^2 + 86304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7982544897 and 7982544906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69165 + ... + 144044.

It is an arithmetic number, because the mean of its divisors is an integer number (176004855).

Almost surely, 2^7982544960 is an apocalyptic number.

It is an amenable number.

7982544960 is an abundant number, since it is smaller than the sum of its proper divisors (21586270680).

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

7982544960 is a wasteful number, since it uses less digits than its factorization.

7982544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213245 (or 213232 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 7982544960 is about 89345.0891767421. The cubic root of 7982544960 is about 1998.5443541379.

The spelling of 7982544960 in words is "seven billion, nine hundred eighty-two million, five hundred forty-four thousand, nine hundred sixty".