821481796800 has 1008 divisors, whose sum is σ = 3469288935424. Its totient is φ = 180403200000.

The previous prime is 821481796783. The next prime is 821481796823. The reversal of 821481796800 is 8697184128.

821481796800 is a `hidden beast` number, since 82 + 1 + 481 + 7 + 9 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 471843930 + ... + 471845670.

Almost surely, 2^821481796800 is an apocalyptic number.

821481796800 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 821481796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734644467712).

821481796800 is an abundant number, since it is smaller than the sum of its proper divisors (2647807138624).

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

821481796800 is a wasteful number, since it uses less digits than its factorization.

821481796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 821481796800 in words is "eight hundred twenty-one billion, four hundred eighty-one million, seven hundred ninety-six thousand, eight hundred".