826714066944 has 208 divisors, whose sum is σ = 2340286912512. Its totient is φ = 258659057664.

The previous prime is 826714066933. The next prime is 826714066967. The reversal of 826714066944 is 449660417628.

It is a super-2 number, since 2×826714066944² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80002002 + ... + 80012334.

Almost surely, 2^826714066944 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 826714066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170143456256).

826714066944 is an abundant number, since it is smaller than the sum of its proper divisors (1513572845568).

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

826714066944 is a wasteful number, since it uses less digits than its factorization.

826714066944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10760 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 826714066944 in words is "eight hundred twenty-six billion, seven hundred fourteen million, sixty-six thousand, nine hundred forty-four".