827433074304 has 384 divisors, whose sum is σ = 2505576715200. Its totient is φ = 261738086400.

The previous prime is 827433074267. The next prime is 827433074341. The reversal of 827433074304 is 403470334728.

827433074304 is a `hidden beast` number, since 8 + 2 + 7 + 4 + 330 + 7 + 4 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (827433074267) and next prime (827433074341).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 827433074304.

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, 1197442599 + ... + 1197443289.

Almost surely, 2^827433074304 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 827433074304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252788357600).

827433074304 is an abundant number, since it is smaller than the sum of its proper divisors (1678143640896).

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

827433074304 is a wasteful number, since it uses less digits than its factorization.

827433074304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 827433074304 in words is "eight hundred twenty-seven billion, four hundred thirty-three million, seventy-four thousand, three hundred four".