827265363840 has 640 divisors, whose sum is σ = 3030989829120. Its totient is φ = 214922833920.

The previous prime is 827265363829. The next prime is 827265363863. The reversal of 827265363840 is 48363562728.

827265363840 is a `hidden beast` number, since 8 + 2 + 7 + 26 + 536 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 640793595 + ... + 640794885.

It is an arithmetic number, because the mean of its divisors is an integer number (4735921608).

Almost surely, 2^827265363840 is an apocalyptic number.

827265363840 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 827265363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515494914560).

827265363840 is an abundant number, since it is smaller than the sum of its proper divisors (2203724465280).

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

827265363840 is a wasteful number, since it uses less digits than its factorization.

827265363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 827265363840 in words is "eight hundred twenty-seven billion, two hundred sixty-five million, three hundred sixty-three thousand, eight hundred forty".