6986877360 has 160 divisors (see below), whose sum is σ = 22414993920. Its totient is φ = 1799153664.

The previous prime is 6986877343. The next prime is 6986877367. The reversal of 6986877360 is 637786896.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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 = 6986877294 and 6986877303.

It is not an unprimeable number, because it can be changed into a prime (6986877367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914677 + ... + 922283.

It is an arithmetic number, because the mean of its divisors is an integer number (140093712).

Almost surely, 2^6986877360 is an apocalyptic number.

6986877360 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 6986877360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11207496960).

6986877360 is an abundant number, since it is smaller than the sum of its proper divisors (15428116560).

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

6986877360 is a wasteful number, since it uses less digits than its factorization.

6986877360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7755 (or 7749 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The square root of 6986877360 is about 83587.5430910611. The cubic root of 6986877360 is about 1911.7350680112.

The spelling of 6986877360 in words is "six billion, nine hundred eighty-six million, eight hundred seventy-seven thousand, three hundred sixty".