828391840640 has 1152 divisors, whose sum is σ = 2722908000960. Its totient is φ = 234499276800.

The previous prime is 828391840613. The next prime is 828391840669. The reversal of 828391840640 is 46048193828.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20204679020 + ... + 20204679060.

Almost surely, 2^828391840640 is an apocalyptic number.

828391840640 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 828391840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361454000480).

828391840640 is an abundant number, since it is smaller than the sum of its proper divisors (1894516160320).

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

828391840640 is a wasteful number, since it uses less digits than its factorization.

828391840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 53.

The spelling of 828391840640 in words is "eight hundred twenty-eight billion, three hundred ninety-one million, eight hundred forty thousand, six hundred forty".