3964168706560 has 320 divisors, whose sum is σ = 10590819465600. Its totient is φ = 1416658747392.

The previous prime is 3964168706479. The next prime is 3964168706587. The reversal of 3964168706560 is 656078614693.

3964168706560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

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, 60621402 + ... + 60686758.

It is an arithmetic number, because the mean of its divisors is an integer number (33096310830).

Almost surely, 2^{3964168706560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3964168706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295409732800).

3964168706560 is an abundant number, since it is smaller than the sum of its proper divisors (6626650759040).

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

3964168706560 is a wasteful number, since it uses less digits than its factorization.

3964168706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65471 (or 65455 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 3964168706560 in words is "three trillion, nine hundred sixty-four billion, one hundred sixty-eight million, seven hundred six thousand, five hundred sixty".