821422356480 has 768 divisors, whose sum is σ = 3206821363200. Its totient is φ = 197791580160.

The previous prime is 821422356449. The next prime is 821422356493. The reversal of 821422356480 is 84653224128.

821422356480 is a `hidden beast` number, since 8 + 2 + 1 + 4 + 2 + 2 + 3 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495727812 + ... + 495729468.

It is an arithmetic number, because the mean of its divisors is an integer number (4175548650).

Almost surely, 2^821422356480 is an apocalyptic number.

821422356480 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 821422356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603410681600).

821422356480 is an abundant number, since it is smaller than the sum of its proper divisors (2385399006720).

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

821422356480 is a wasteful number, since it uses less digits than its factorization.

821422356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 821422356480 in words is "eight hundred twenty-one billion, four hundred twenty-two million, three hundred fifty-six thousand, four hundred eighty".