73921342080 has 512 divisors, whose sum is σ = 256367877120. Its totient is φ = 18048614400.

The previous prime is 73921342049. The next prime is 73921342081. The reversal of 73921342080 is 8024312937.

It is not an unprimeable number, because it can be changed into a prime (73921342081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 272772345 + ... + 272772615.

It is an arithmetic number, because the mean of its divisors is an integer number (500718510).

Almost surely, 2^73921342080 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 73921342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128183938560).

73921342080 is an abundant number, since it is smaller than the sum of its proper divisors (182446535040).

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

73921342080 is a wasteful number, since it uses less digits than its factorization.

73921342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 73921342080 in words is "seventy-three billion, nine hundred twenty-one million, three hundred forty-two thousand, eighty".