821662479936 has 189 divisors, whose sum is σ = 2379655630443. Its totient is φ = 271066602240.

The previous prime is 821662479923. The next prime is 821662479943. The reversal of 821662479936 is 639974266128.

The square root of 821662479936 is 906456.

It is a perfect power (a square), and thus also a powerful number.

821662479936 is a `hidden beast` number, since 8 + 2 + 16 + 62 + 479 + 93 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3894134871 + ... + 3894135081.

Almost surely, 2^821662479936 is an apocalyptic number.

821662479936 is the 906456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821662479936

821662479936 is an abundant number, since it is smaller than the sum of its proper divisors (1557993150507).

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

821662479936 is an equidigital number, since it uses as much as digits as its factorization.

821662479936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 395 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 821662479936 in words is "eight hundred twenty-one billion, six hundred sixty-two million, four hundred seventy-nine thousand, nine hundred thirty-six".