73821450528 has 288 divisors, whose sum is σ = 242770784256. Its totient is φ = 20842665984.

The previous prime is 73821450497. The next prime is 73821450541. The reversal of 73821450528 is 82505412837.

73821450528 is a `hidden beast` number, since 7 + 3 + 82 + 1 + 45 + 0 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95499550 + ... + 95500322.

It is an arithmetic number, because the mean of its divisors is an integer number (842954112).

Almost surely, 2^73821450528 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 73821450528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121385392128).

73821450528 is an abundant number, since it is smaller than the sum of its proper divisors (168949333728).

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

73821450528 is a wasteful number, since it uses less digits than its factorization.

73821450528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 73821450528 in words is "seventy-three billion, eight hundred twenty-one million, four hundred fifty thousand, five hundred twenty-eight".