821670126796800 has 5760 divisors, whose sum is σ = 3584948448614400. Its totient is φ = 182969633341440.

The previous prime is 821670126796789. The next prime is 821670126796807. The reversal of 821670126796800 is 8697621076128.

821670126796800 is a `hidden beast` number, since 8 + 216 + 70 + 1 + 267 + 96 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821670126796807) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5997592166332 + ... + 5997592166468.

It is an arithmetic number, because the mean of its divisors is an integer number (622386883440).

Almost surely, 2^{821670126796800} is an apocalyptic number.

821670126796800 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 821670126796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792474224307200).

821670126796800 is an abundant number, since it is smaller than the sum of its proper divisors (2763278321817600).

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

821670126796800 is a wasteful number, since it uses less digits than its factorization.

821670126796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 821670126796800 in words is "eight hundred twenty-one trillion, six hundred seventy billion, one hundred twenty-six million, seven hundred ninety-six thousand, eight hundred".