826631536640 has 960 divisors, whose sum is σ = 2607099801600. Its totient is φ = 249707888640.

The previous prime is 826631536613. The next prime is 826631536697. The reversal of 826631536640 is 46635136628.

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 63 ways as a sum of consecutive naturals, for example, 11323719644 + ... + 11323719716.

It is an arithmetic number, because the mean of its divisors is an integer number (2715728960).

Almost surely, 2^826631536640 is an apocalyptic number.

826631536640 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 826631536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303549900800).

826631536640 is an abundant number, since it is smaller than the sum of its proper divisors (1780468264960).

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

826631536640 is an equidigital number, since it uses as much as digits as its factorization.

826631536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 50.

The spelling of 826631536640 in words is "eight hundred twenty-six billion, six hundred thirty-one million, five hundred thirty-six thousand, six hundred forty".