2713641737664 has 448 divisors, whose sum is σ = 8553123790848. Its totient is φ = 748500480000.

The previous prime is 2713641737647. The next prime is 2713641737711. The reversal of 2713641737664 is 4667371463172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 709818057 + ... + 709821879.

It is an arithmetic number, because the mean of its divisors is an integer number (19091794176).

Almost surely, 2^{2713641737664} is an apocalyptic number.

2713641737664 is a gapful number since it is divisible by the number (24) 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 2713641737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276561895424).

2713641737664 is an abundant number, since it is smaller than the sum of its proper divisors (5839482053184).

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

2713641737664 is a wasteful number, since it uses less digits than its factorization.

2713641737664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4206 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 57.

The spelling of 2713641737664 in words is "two trillion, seven hundred thirteen billion, six hundred forty-one million, seven hundred thirty-seven thousand, six hundred sixty-four".