821486782368 has 960 divisors, whose sum is σ = 3015616843008. Its totient is φ = 214035333120.

The previous prime is 821486782349. The next prime is 821486782373. The reversal of 821486782368 is 863287684128.

821486782368 is a `hidden beast` number, since 8 + 2 + 1 + 486 + 78 + 23 + 68 = 666.

821486782368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3196446496 + ... + 3196446752.

Almost surely, 2^821486782368 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 821486782368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507808421504).

821486782368 is an abundant number, since it is smaller than the sum of its proper divisors (2194130060640).

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

821486782368 is a wasteful number, since it uses less digits than its factorization.

821486782368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 570 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 821486782368 in words is "eight hundred twenty-one billion, four hundred eighty-six million, seven hundred eighty-two thousand, three hundred sixty-eight".