6877869477120 has 144 divisors (see below), whose sum is σ = 24406884169920. Its totient is φ = 1834098518016.

The previous prime is 6877869477091. The next prime is 6877869477131. The reversal of 6877869477120 is 217749687786.

6877869477120 is a `hidden beast` number, since 6 + 8 + 7 + 78 + 69 + 477 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 99471654 + ... + 99540773.

It is an arithmetic number, because the mean of its divisors is an integer number (169492251180).

Almost surely, 2^{6877869477120} is an apocalyptic number.

6877869477120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6877869477120 is an abundant number, since it is smaller than the sum of its proper divisors (17529014692800).

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

6877869477120 is a wasteful number, since it uses less digits than its factorization.

6877869477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199012457 (or 199012437 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 72.

The spelling of 6877869477120 in words is "six trillion, eight hundred seventy-seven billion, eight hundred sixty-nine million, four hundred seventy-seven thousand, one hundred twenty".