6866122072320 has 1296 divisors, whose sum is σ = 28361843153280. Its totient is φ = 1502186176512.

The previous prime is 6866122072297. The next prime is 6866122072321. The reversal of 6866122072320 is 232702216686.

6866122072320 is a `hidden beast` number, since 6 + 8 + 6 + 612 + 2 + 0 + 7 + 2 + 3 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6866122072321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9291098511 + ... + 9291099249.

Almost surely, 2^{6866122072320} is an apocalyptic number.

6866122072320 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 6866122072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14180921576640).

6866122072320 is an abundant number, since it is smaller than the sum of its proper divisors (21495721080960).

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

6866122072320 is a wasteful number, since it uses less digits than its factorization.

6866122072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 6866122072320 in words is "six trillion, eight hundred sixty-six billion, one hundred twenty-two million, seventy-two thousand, three hundred twenty".