827219711640 has 256 divisors, whose sum is σ = 2988110361600. Its totient is φ = 178967937024.

The previous prime is 827219711639. The next prime is 827219711651. The reversal of 827219711640 is 46117912728.

It is a self number, because there is not a number n which added to its sum of digits gives 827219711640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18379404 + ... + 18424356.

It is an arithmetic number, because the mean of its divisors is an integer number (11672306100).

Almost surely, 2^827219711640 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 827219711640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494055180800).

827219711640 is an abundant number, since it is smaller than the sum of its proper divisors (2160890649960).

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

827219711640 is a wasteful number, since it uses less digits than its factorization.

827219711640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46146 (or 46142 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 827219711640 in words is "eight hundred twenty-seven billion, two hundred nineteen million, seven hundred eleven thousand, six hundred forty".