826738314720 has 192 divisors, whose sum is σ = 2742108526080. Its totient is φ = 208797861888.

The previous prime is 826738314719. The next prime is 826738314757. The reversal of 826738314720 is 27413837628.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35711469 + ... + 35734611.

It is an arithmetic number, because the mean of its divisors is an integer number (14281815240).

Almost surely, 2^826738314720 is an apocalyptic number.

826738314720 is a gapful number since it is divisible by the number (80) 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 826738314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371054263040).

826738314720 is an abundant number, since it is smaller than the sum of its proper divisors (1915370211360).

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

826738314720 is a wasteful number, since it uses less digits than its factorization.

826738314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27097 (or 27089 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 826738314720 in words is "eight hundred twenty-six billion, seven hundred thirty-eight million, three hundred fourteen thousand, seven hundred twenty".