6877897881120 has 720 divisors, whose sum is σ = 28329004851840. Its totient is φ = 1566925710336.

The previous prime is 6877897881119. The next prime is 6877897881121. The reversal of 6877897881120 is 211887987786.

It is an interprime number because it is at equal distance from previous prime (6877897881119) and next prime (6877897881121).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6877897881120² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6877897881121) 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 119 ways as a sum of consecutive naturals, for example, 194939641 + ... + 194974919.

It is an arithmetic number, because the mean of its divisors is an integer number (39345840072).

Almost surely, 2^{6877897881120} is an apocalyptic number.

6877897881120 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 6877897881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14164502425920).

6877897881120 is an abundant number, since it is smaller than the sum of its proper divisors (21451106970720).

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

6877897881120 is a wasteful number, since it uses less digits than its factorization.

6877897881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35627 (or 35603 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 72.

The spelling of 6877897881120 in words is "six trillion, eight hundred seventy-seven billion, eight hundred ninety-seven million, eight hundred eighty-one thousand, one hundred twenty".