6876432210960 has 1280 divisors, whose sum is σ = 27182160230400. Its totient is φ = 1585008082944.

The previous prime is 6876432210911. The next prime is 6876432210997. The reversal of 6876432210960 is 690122346786.

6876432210960 is a `hidden beast` number, since 68 + 76 + 432 + 21 + 0 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6876432210897 and 6876432210906.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7401971776 + ... + 7401972704.

It is an arithmetic number, because the mean of its divisors is an integer number (21236062680).

Almost surely, 2^{6876432210960} is an apocalyptic number.

6876432210960 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 6876432210960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13591080115200).

6876432210960 is an abundant number, since it is smaller than the sum of its proper divisors (20305728019440).

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

6876432210960 is a wasteful number, since it uses less digits than its factorization.

6876432210960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 6876432210960 in words is "six trillion, eight hundred seventy-six billion, four hundred thirty-two million, two hundred ten thousand, nine hundred sixty".