821419476480 has 480 divisors, whose sum is σ = 2886085144800. Its totient is φ = 215883841536.

The previous prime is 821419476347. The next prime is 821419476487. The reversal of 821419476480 is 84674914128.

821419476480 is a `hidden beast` number, since 8 + 2 + 1 + 4 + 1 + 94 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821419476487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1043734647 + ... + 1043735433.

It is an arithmetic number, because the mean of its divisors is an integer number (6012677385).

Almost surely, 2^821419476480 is an apocalyptic number.

821419476480 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 821419476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443042572400).

821419476480 is an abundant number, since it is smaller than the sum of its proper divisors (2064665668320).

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

821419476480 is a wasteful number, since it uses less digits than its factorization.

821419476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 821419476480 in words is "eight hundred twenty-one billion, four hundred nineteen million, four hundred seventy-six thousand, four hundred eighty".