6706879189920 has 1152 divisors, whose sum is σ = 30313485619200. Its totient is φ = 1353528963072.

The previous prime is 6706879189903. The next prime is 6706879189939. The reversal of 6706879189920 is 299819786076.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117514351 + ... + 117571409.

It is an arithmetic number, because the mean of its divisors is an integer number (26313789600).

Almost surely, 2^{6706879189920} is an apocalyptic number.

6706879189920 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 6706879189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156742809600).

6706879189920 is an abundant number, since it is smaller than the sum of its proper divisors (23606606429280).

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

6706879189920 is a wasteful number, since it uses less digits than its factorization.

6706879189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57139 (or 57112 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 6706879189920 in words is "six trillion, seven hundred six billion, eight hundred seventy-nine million, one hundred eighty-nine thousand, nine hundred twenty".