6987377102160 has 2880 divisors, whose sum is σ = 30560508002304. Its totient is φ = 1290475929600.

The previous prime is 6987377102141. The next prime is 6987377102161. The reversal of 6987377102160 is 612017737896.

It is a happy number.

It is a super-3 number, since 3×6987377102160³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6987377102160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6987377102161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 104289210447 + ... + 104289210513.

Almost surely, 2^{6987377102160} is an apocalyptic number.

6987377102160 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 6987377102160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15280254001152).

6987377102160 is an abundant number, since it is smaller than the sum of its proper divisors (23573130900144).

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

6987377102160 is a wasteful number, since it uses less digits than its factorization.

6987377102160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 6987377102160 in words is "six trillion, nine hundred eighty-seven billion, three hundred seventy-seven million, one hundred two thousand, one hundred sixty".