8199687006 has 192 divisors, whose sum is σ = 22088102400. Its totient is φ = 2146176000.

The previous prime is 8199686969. The next prime is 8199687007. The reversal of 8199687006 is 6007869918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8199687007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13643106 + ... + 13643706.

It is an arithmetic number, because the mean of its divisors is an integer number (115042200).

Almost surely, 2^8199687006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8199687006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11044051200).

8199687006 is an abundant number, since it is smaller than the sum of its proper divisors (13888415394).

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

8199687006 is a wasteful number, since it uses less digits than its factorization.

8199687006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 8199687006 is about 90552.1231446287. The cubic root of 8199687006 is about 2016.5040179124.

The spelling of 8199687006 in words is "eight billion, one hundred ninety-nine million, six hundred eighty-seven thousand, six".