821710724796 has 384 divisors, whose sum is σ = 2668251801600. Its totient is φ = 215632834560.

The previous prime is 821710724689. The next prime is 821710724801. The reversal of 821710724796 is 697427017128.

821710724796 is a `hidden beast` number, since 82 + 17 + 10 + 72 + 479 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10390926 + ... + 10469706.

It is an arithmetic number, because the mean of its divisors is an integer number (6948572400).

Almost surely, 2^821710724796 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 821710724796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334125900800).

821710724796 is an abundant number, since it is smaller than the sum of its proper divisors (1846541076804).

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

821710724796 is a wasteful number, since it uses less digits than its factorization.

821710724796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78866 (or 78858 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 821710724796 in words is "eight hundred twenty-one billion, seven hundred ten million, seven hundred twenty-four thousand, seven hundred ninety-six".