6692168951040 has 288 divisors, whose sum is σ = 22830650430336. Its totient is φ = 1664737607680.

The previous prime is 6692168951009. The next prime is 6692168951119. The reversal of 6692168951040 is 401598612966.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6923035 + ... + 7830245.

It is an arithmetic number, because the mean of its divisors is an integer number (79273091772).

Almost surely, 2^{6692168951040} is an apocalyptic number.

6692168951040 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 6692168951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11415325215168).

6692168951040 is an abundant number, since it is smaller than the sum of its proper divisors (16138481479296).

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

6692168951040 is a wasteful number, since it uses less digits than its factorization.

6692168951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907365 (or 907351 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 6692168951040 in words is "six trillion, six hundred ninety-two billion, one hundred sixty-eight million, nine hundred fifty-one thousand, forty".