826897268736 has 1530 divisors, whose sum is σ = 3330323794908. Its totient is φ = 202144481280.

The previous prime is 826897268713. The next prime is 826897268741. The reversal of 826897268736 is 637862798628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 48641015800 + ... + 48641015816.

Almost surely, 2^826897268736 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 826897268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665161897454).

826897268736 is an abundant number, since it is smaller than the sum of its proper divisors (2503426526172).

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

826897268736 is an equidigital number, since it uses as much as digits as its factorization.

826897268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 40 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 826897268736 in words is "eight hundred twenty-six billion, eight hundred ninety-seven million, two hundred sixty-eight thousand, seven hundred thirty-six".