6008906691840 has 864 divisors, whose sum is σ = 22106794026240. Its totient is φ = 1378001092608.

The previous prime is 6008906691839. The next prime is 6008906691877. The reversal of 6008906691840 is 481966098006.

It is a super-2 number, since 2×6008906691840² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13687714341 + ... + 13687714779.

It is an arithmetic number, because the mean of its divisors is an integer number (25586567160).

Almost surely, 2^{6008906691840} is an apocalyptic number.

6008906691840 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 6008906691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11053397013120).

6008906691840 is an abundant number, since it is smaller than the sum of its proper divisors (16097887334400).

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

6008906691840 is a wasteful number, since it uses less digits than its factorization.

6008906691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 6008906691840 in words is "six trillion, eight billion, nine hundred six million, six hundred ninety-one thousand, eight hundred forty".