6689918198040 has 512 divisors, whose sum is σ = 25850658816000. Its totient is φ = 1344152678400.

The previous prime is 6689918198023. The next prime is 6689918198057. The reversal of 6689918198040 is 408918199866.

It is an interprime number because it is at equal distance from previous prime (6689918198023) and next prime (6689918198057).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 369212101 + ... + 369230219.

It is an arithmetic number, because the mean of its divisors is an integer number (50489568000).

Almost surely, 2^{6689918198040} is an apocalyptic number.

6689918198040 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 6689918198040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12925329408000).

6689918198040 is an abundant number, since it is smaller than the sum of its proper divisors (19160740617960).

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

6689918198040 is a wasteful number, since it uses less digits than its factorization.

6689918198040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19471 (or 19467 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 69.

The spelling of 6689918198040 in words is "six trillion, six hundred eighty-nine billion, nine hundred eighteen million, one hundred ninety-eight thousand, forty".