6986875560 has 256 divisors, whose sum is σ = 25466918400. Its totient is φ = 1502171136.

The previous prime is 6986875517. The next prime is 6986875561. The reversal of 6986875560 is 655786896.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6986875494 and 6986875503.

It is not an unprimeable number, because it can be changed into a prime (6986875561) 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 63 ways as a sum of consecutive naturals, for example, 4126074 + ... + 4127766.

It is an arithmetic number, because the mean of its divisors is an integer number (99480150).

Almost surely, 2^6986875560 is an apocalyptic number.

6986875560 is a gapful number since it is divisible by the number (60) 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 6986875560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12733459200).

6986875560 is an abundant number, since it is smaller than the sum of its proper divisors (18480042840).

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

6986875560 is a wasteful number, since it uses less digits than its factorization.

6986875560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The square root of 6986875560 is about 83587.5323239058. The cubic root of 6986875560 is about 1911.7349038404.

The spelling of 6986875560 in words is "six billion, nine hundred eighty-six million, eight hundred seventy-five thousand, five hundred sixty".