6877706640 has 240 divisors, whose sum is σ = 26108061120. Its totient is φ = 1489259520.

The previous prime is 6877706623. The next prime is 6877706657. The reversal of 6877706640 is 466077786.

It is an interprime number because it is at equal distance from previous prime (6877706623) and next prime (6877706657).

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 208050 + ... + 238830.

It is an arithmetic number, because the mean of its divisors is an integer number (108783588).

Almost surely, 2^6877706640 is an apocalyptic number.

6877706640 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 6877706640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13054030560).

6877706640 is an abundant number, since it is smaller than the sum of its proper divisors (19230354480).

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

6877706640 is a wasteful number, since it uses less digits than its factorization.

6877706640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30830 (or 30817 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The square root of 6877706640 is about 82931.9398060844. The cubic root of 6877706640 is about 1901.7257303262.

The spelling of 6877706640 in words is "six billion, eight hundred seventy-seven million, seven hundred six thousand, six hundred forty".