824340381696 has 912 divisors, whose sum is σ = 2884333473280. Its totient is φ = 231022264320.

The previous prime is 824340381643. The next prime is 824340381757. The reversal of 824340381696 is 696183043428.

824340381696 is a `hidden beast` number, since 82 + 434 + 0 + 38 + 16 + 96 = 666.

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

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, 26591625201 + ... + 26591625231.

Almost surely, 2^824340381696 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 824340381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442166736640).

824340381696 is an abundant number, since it is smaller than the sum of its proper divisors (2059993091584).

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

824340381696 is an equidigital number, since it uses as much as digits as its factorization.

824340381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 824340381696 in words is "eight hundred twenty-four billion, three hundred forty million, three hundred eighty-one thousand, six hundred ninety-six".