2713064786640 has 480 divisors, whose sum is σ = 10158203895840. Its totient is φ = 644320051200.

The previous prime is 2713064786591. The next prime is 2713064786659. The reversal of 2713064786640 is 466874603172.

2713064786640 is a `hidden beast` number, since 2 + 71 + 3 + 0 + 6 + 478 + 66 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1976138685504 + 736926101136 = 1405752^2 + 858444^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 472574170 + ... + 472579910.

It is an arithmetic number, because the mean of its divisors is an integer number (21162924783).

Almost surely, 2^{2713064786640} is an apocalyptic number.

2713064786640 is a gapful number since it is divisible by the number (20) 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 2713064786640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079101947920).

2713064786640 is an abundant number, since it is smaller than the sum of its proper divisors (7445139109200).

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

2713064786640 is a wasteful number, since it uses less digits than its factorization.

2713064786640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7543 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2713064786640 in words is "two trillion, seven hundred thirteen billion, sixty-four million, seven hundred eighty-six thousand, six hundred forty".