6867666600 has 192 divisors, whose sum is σ = 22427850240. Its totient is φ = 1735008000.

The previous prime is 6867666587. The next prime is 6867666601. The reversal of 6867666600 is 66667686.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6867666601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1474275 + ... + 1478925.

It is an arithmetic number, because the mean of its divisors is an integer number (116811720).

Almost surely, 2^6867666600 is an apocalyptic number.

6867666600 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 6867666600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11213925120).

6867666600 is an abundant number, since it is smaller than the sum of its proper divisors (15560183640).

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

6867666600 is a wasteful number, since it uses less digits than its factorization.

6867666600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The square root of 6867666600 is about 82871.3858940467. The cubic root of 6867666600 is about 1900.7999032660.

The spelling of 6867666600 in words is "six billion, eight hundred sixty-seven million, six hundred sixty-six thousand, six hundred".