7984906560 has 448 divisors, whose sum is σ = 29963059200. Its totient is φ = 1996130304.

The previous prime is 7984906547. The next prime is 7984906607. The reversal of 7984906560 is 656094897.

7984906560 is a `hidden beast` number, since 7 + 98 + 490 + 6 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7984906497 and 7984906506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20848129 + ... + 20848511.

Almost surely, 2^7984906560 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 7984906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981529600).

7984906560 is an abundant number, since it is smaller than the sum of its proper divisors (21978152640).

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

7984906560 is a wasteful number, since it uses less digits than its factorization.

7984906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 7984906560 is about 89358.3043706627. The cubic root of 7984906560 is about 1998.7414214895.

The spelling of 7984906560 in words is "seven billion, nine hundred eighty-four million, nine hundred six thousand, five hundred sixty".