7869598560 has 288 divisors, whose sum is σ = 27871972128. Its totient is φ = 2020515840.

The previous prime is 7869598559. The next prime is 7869598567. The reversal of 7869598560 is 658959687.

7869598560 is a `hidden beast` number, since 7 + 8 + 69 + 5 + 9 + 8 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7869598567) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4519290 + ... + 4521030.

It is an arithmetic number, because the mean of its divisors is an integer number (96777681).

Almost surely, 2^7869598560 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 7869598560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13935986064).

7869598560 is an abundant number, since it is smaller than the sum of its proper divisors (20002373568).

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

7869598560 is a wasteful number, since it uses less digits than its factorization.

7869598560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The square root of 7869598560 is about 88710.7578594614. The cubic root of 7869598560 is about 1989.0736292487.

The spelling of 7869598560 in words is "seven billion, eight hundred sixty-nine million, five hundred ninety-eight thousand, five hundred sixty".