3126665816064 has 960 divisors, whose sum is σ = 11387664288000. Its totient is φ = 834355593216.

The previous prime is 3126665815969. The next prime is 3126665816093. The reversal of 3126665816064 is 4606185666213.

3126665816064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3126665816064.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2941359597 + ... + 2941360659.

It is an arithmetic number, because the mean of its divisors is an integer number (11862150300).

Almost surely, 2^{3126665816064} is an apocalyptic number.

3126665816064 is a gapful number since it is divisible by the number (34) 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 3126665816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693832144000).

3126665816064 is an abundant number, since it is smaller than the sum of its proper divisors (8260998471936).

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

3126665816064 is a wasteful number, since it uses less digits than its factorization.

3126665816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3126665816064 in words is "three trillion, one hundred twenty-six billion, six hundred sixty-five million, eight hundred sixteen thousand, sixty-four".