828194264640 has 168 divisors, whose sum is σ = 2902391709048. Its totient is φ = 216684748800.

The previous prime is 828194264627. The next prime is 828194264657. The reversal of 828194264640 is 46462491828.

It is a happy number.

828194264640 is a `hidden beast` number, since 82 + 81 + 9 + 4 + 26 + 464 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123521319936 + 704672944704 = 351456^2 + 839448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2560261 + ... + 2865540.

Almost surely, 2^828194264640 is an apocalyptic number.

828194264640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828194264640 is an abundant number, since it is smaller than the sum of its proper divisors (2074197444408).

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

828194264640 is a wasteful number, since it uses less digits than its factorization.

828194264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425877 (or 5425864 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 828194264640 in words is "eight hundred twenty-eight billion, one hundred ninety-four million, two hundred sixty-four thousand, six hundred forty".