3169020664656 has 640 divisors, whose sum is σ = 11635055308800. Its totient is φ = 801866096640.

The previous prime is 3169020664639. The next prime is 3169020664673. The reversal of 3169020664656 is 6564660209613.

3169020664656 is a `hidden beast` number, since 3 + 16 + 90 + 20 + 66 + 465 + 6 = 666.

3169020664656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3169020664639) and next prime (3169020664673).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 585011260 + ... + 585016676.

It is an arithmetic number, because the mean of its divisors is an integer number (18179773920).

Almost surely, 2^{3169020664656} is an apocalyptic number.

3169020664656 is a gapful number since it is divisible by the number (36) 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 3169020664656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5817527654400).

3169020664656 is an abundant number, since it is smaller than the sum of its proper divisors (8466034644144).

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

3169020664656 is a wasteful number, since it uses less digits than its factorization.

3169020664656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3169020664656 in words is "three trillion, one hundred sixty-nine billion, twenty million, six hundred sixty-four thousand, six hundred fifty-six".