6711857691264 has 192 divisors, whose sum is σ = 21072985596000. Its totient is φ = 2033597859840.

The previous prime is 6711857691131. The next prime is 6711857691269. The reversal of 6711857691264 is 4621967581176.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (6711857691269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95625847 + ... + 95696009.

Almost surely, 2^{6711857691264} is an apocalyptic number.

6711857691264 is a gapful number since it is divisible by the number (64) 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 6711857691264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10536492798000).

6711857691264 is an abundant number, since it is smaller than the sum of its proper divisors (14361127904736).

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

6711857691264 is a wasteful number, since it uses less digits than its factorization.

6711857691264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77743 (or 77728 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 6711857691264 in words is "six trillion, seven hundred eleven billion, eight hundred fifty-seven million, six hundred ninety-one thousand, two hundred sixty-four".