7982528040 has 96 divisors (see below), whose sum is σ = 26028082080. Its totient is φ = 2121710976.

The previous prime is 7982528017. The next prime is 7982528063. The reversal of 7982528040 is 408252897.

7982528040 is a `hidden beast` number, since 7 + 9 + 82 + 528 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7982528017) and next prime (7982528063).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74407 + ... + 146633.

It is an arithmetic number, because the mean of its divisors is an integer number (271125855).

Almost surely, 2^7982528040 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 7982528040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13014041040).

7982528040 is an abundant number, since it is smaller than the sum of its proper divisors (18045554040).

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

7982528040 is a wasteful number, since it uses less digits than its factorization.

7982528040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72551 (or 72544 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 7982528040 is about 89344.9944876600. The cubic root of 7982528040 is about 1998.5429420822.

The spelling of 7982528040 in words is "seven billion, nine hundred eighty-two million, five hundred twenty-eight thousand, forty".