6877381140 has 288 divisors, whose sum is σ = 24957354240. Its totient is φ = 1557190656.

The previous prime is 6877381129. The next prime is 6877381157. The reversal of 6877381140 is 411837786.

6877381140 is a `hidden beast` number, since 68 + 77 + 381 + 140 = 666.

It is a super-3 number, since 3×6877381140³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3843366 + ... + 3845154.

It is an arithmetic number, because the mean of its divisors is an integer number (86657480).

Almost surely, 2^6877381140 is an apocalyptic number.

6877381140 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 6877381140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12478677120).

6877381140 is an abundant number, since it is smaller than the sum of its proper divisors (18079973100).

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

6877381140 is a wasteful number, since it uses less digits than its factorization.

6877381140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 6877381140 is about 82929.9773302754. The cubic root of 6877381140 is about 1901.6957289744.

The spelling of 6877381140 in words is "six billion, eight hundred seventy-seven million, three hundred eighty-one thousand, one hundred forty".