73021428816 has 160 divisors (see below), whose sum is σ = 223823174400. Its totient is φ = 20071403520.

The previous prime is 73021428811. The next prime is 73021428841. The reversal of 73021428816 is 61882412037.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73021428811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2724730 + ... + 2751398.

It is an arithmetic number, because the mean of its divisors is an integer number (1398894840).

Almost surely, 2^73021428816 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 73021428816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111911587200).

73021428816 is an abundant number, since it is smaller than the sum of its proper divisors (150801745584).

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

73021428816 is a wasteful number, since it uses less digits than its factorization.

73021428816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26997 (or 26991 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 73021428816 in words is "seventy-three billion, twenty-one million, four hundred twenty-eight thousand, eight hundred sixteen".