827189414964 has 144 divisors (see below), whose sum is σ = 2297923992000. Its totient is φ = 248812899840.

The previous prime is 827189414929. The next prime is 827189414983. The reversal of 827189414964 is 469414981728.

827189414964 is a `hidden beast` number, since 8 + 27 + 1 + 89 + 41 + 496 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40322742 + ... + 40343250.

It is an arithmetic number, because the mean of its divisors is an integer number (15957805500).

Almost surely, 2^827189414964 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 827189414964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148961996000).

827189414964 is an abundant number, since it is smaller than the sum of its proper divisors (1470734577036).

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

827189414964 is a wasteful number, since it uses less digits than its factorization.

827189414964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21278 (or 21273 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 827189414964 in words is "eight hundred twenty-seven billion, one hundred eighty-nine million, four hundred fourteen thousand, nine hundred sixty-four".