3140052761664 has 672 divisors, whose sum is σ = 11453164800000. Its totient is φ = 826023204864.

The previous prime is 3140052761663. The next prime is 3140052761693. The reversal of 3140052761664 is 4661672500413.

3140052761664 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 0 + 5 + 27 + 616 + 6 + 4 = 666.

3140052761664 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 (672).

It is not an unprimeable number, because it can be changed into a prime (3140052761663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 897412587 + ... + 897416085.

It is an arithmetic number, because the mean of its divisors is an integer number (17043400000).

Almost surely, 2^{3140052761664} 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 3140052761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726582400000).

3140052761664 is an abundant number, since it is smaller than the sum of its proper divisors (8313112038336).

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

3140052761664 is a wasteful number, since it uses less digits than its factorization.

3140052761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3140052761664 in words is "three trillion, one hundred forty billion, fifty-two million, seven hundred sixty-one thousand, six hundred sixty-four".