6696890640000 has 480 divisors, whose sum is σ = 26270258826240. Its totient is φ = 1623486720000.

The previous prime is 6696890639903. The next prime is 6696890640001. The reversal of 6696890640000 is 460986966.

It is a happy number.

6696890640000 is a `hidden beast` number, since 66 + 96 + 8 + 90 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×6696890640000³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6696890640001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7497217 + ... + 8342783.

It is an arithmetic number, because the mean of its divisors is an integer number (54729705888).

Almost surely, 2^{6696890640000} is an apocalyptic number.

6696890640000 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 6696890640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13135129413120).

6696890640000 is an abundant number, since it is smaller than the sum of its proper divisors (19573368186240).

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

6696890640000 is a wasteful number, since it uses less digits than its factorization.

6696890640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845618 (or 845588 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 6696890640000 in words is "six trillion, six hundred ninety-six billion, eight hundred ninety million, six hundred forty thousand".