73821829284 has 288 divisors, whose sum is σ = 228449894400. Its totient is φ = 19632222720.

The previous prime is 73821829271. The next prime is 73821829321. The reversal of 73821829284 is 48292812837.

73821829284 is a `hidden beast` number, since 7 + 382 + 182 + 9 + 2 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 73821829284.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81390759 + ... + 81391665.

It is an arithmetic number, because the mean of its divisors is an integer number (793228800).

Almost surely, 2^73821829284 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 73821829284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114224947200).

73821829284 is an abundant number, since it is smaller than the sum of its proper divisors (154628065116).

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

73821829284 is a wasteful number, since it uses less digits than its factorization.

73821829284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1218 counting only the distinct ones).

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

The spelling of 73821829284 in words is "seventy-three billion, eight hundred twenty-one million, eight hundred twenty-nine thousand, two hundred eighty-four".