6876605970 has 384 divisors, whose sum is σ = 21414516480. Its totient is φ = 1579678848.

The previous prime is 6876605959. The next prime is 6876605971. The reversal of 6876605970 is 795066786.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6876605971) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102635877 + ... + 102635943.

It is an arithmetic number, because the mean of its divisors is an integer number (55766970).

Almost surely, 2^6876605970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6876605970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10707258240).

6876605970 is an abundant number, since it is smaller than the sum of its proper divisors (14537910510).

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

6876605970 is a wasteful number, since it uses less digits than its factorization.

6876605970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 6876605970 is about 82925.3035568758. The cubic root of 6876605970 is about 1901.6242777036.

The spelling of 6876605970 in words is "six billion, eight hundred seventy-six million, six hundred five thousand, nine hundred seventy".