5713457767680 has 1152 divisors, whose sum is σ = 22006141710336. Its totient is φ = 1249483161600.

The previous prime is 5713457767679. The next prime is 5713457767681. The reversal of 5713457767680 is 867677543175.

It is an interprime number because it is at equal distance from previous prime (5713457767679) and next prime (5713457767681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5713457767681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1078618792 + ... + 1078624088.

It is an arithmetic number, because the mean of its divisors is an integer number (19102553568).

Almost surely, 2^{5713457767680} 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 5713457767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11003070855168).

5713457767680 is an abundant number, since it is smaller than the sum of its proper divisors (16292683942656).

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

5713457767680 is a wasteful number, since it uses less digits than its factorization.

5713457767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 207446400, while the sum is 66.

The spelling of 5713457767680 in words is "five trillion, seven hundred thirteen billion, four hundred fifty-seven million, seven hundred sixty-seven thousand, six hundred eighty".