6866123040 has 864 divisors, whose sum is σ = 29183970816. Its totient is φ = 1463132160.

The previous prime is 6866123021. The next prime is 6866123057. The reversal of 6866123040 is 403216686.

6866123040 is a `hidden beast` number, since 6 + 8 + 6 + 612 + 30 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6866122986 and 6866123004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94056444 + ... + 94056516.

It is an arithmetic number, because the mean of its divisors is an integer number (33777744).

Almost surely, 2^6866123040 is an apocalyptic number.

6866123040 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 6866123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14591985408).

6866123040 is an abundant number, since it is smaller than the sum of its proper divisors (22317847776).

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

6866123040 is a wasteful number, since it uses less digits than its factorization.

6866123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6866123040 is about 82862.0723853803. The cubic root of 6866123040 is about 1900.6574862118.

The spelling of 6866123040 in words is "six billion, eight hundred sixty-six million, one hundred twenty-three thousand, forty".