7986545280 has 288 divisors, whose sum is σ = 32082291540. Its totient is φ = 1825431552.

The previous prime is 7986545279. The next prime is 7986545297. The reversal of 7986545280 is 825456897.

7986545280 is a `hidden beast` number, since 7 + 98 + 6 + 545 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7254950976 + 731594304 = 85176^2 + 27048^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268092 + ... + 296388.

Almost surely, 2^7986545280 is an apocalyptic number.

7986545280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7986545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16041145770).

7986545280 is an abundant number, since it is smaller than the sum of its proper divisors (24095746260).

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

7986545280 is a wasteful number, since it uses less digits than its factorization.

7986545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28336 (or 28314 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 7986545280 is about 89367.4732774738. The cubic root of 7986545280 is about 1998.8781441707.

The spelling of 7986545280 in words is "seven billion, nine hundred eighty-six million, five hundred forty-five thousand, two hundred eighty".