827812470672 has 320 divisors, whose sum is σ = 2762142854400. Its totient is φ = 234588856320.

The previous prime is 827812470601. The next prime is 827812470679. The reversal of 827812470672 is 276074218728.

827812470672 is a `hidden beast` number, since 8 + 27 + 81 + 2 + 470 + 6 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (827812470679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12650454 + ... + 12715722.

It is an arithmetic number, because the mean of its divisors is an integer number (8631696420).

Almost surely, 2^827812470672 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 827812470672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381071427200).

827812470672 is an abundant number, since it is smaller than the sum of its proper divisors (1934330383728).

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

827812470672 is a wasteful number, since it uses less digits than its factorization.

827812470672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65471 (or 65459 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 827812470672 in words is "eight hundred twenty-seven billion, eight hundred twelve million, four hundred seventy thousand, six hundred seventy-two".