73226820000 has 720 divisors, whose sum is σ = 263920168512. Its totient is φ = 17756160000.

The previous prime is 73226819993. The next prime is 73226820001. The reversal of 73226820000 is 2862237.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 73226820000.

It is not an unprimeable number, because it can be changed into a prime (73226820001) 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 119 ways as a sum of consecutive naturals, for example, 710939949 + ... + 710940051.

Almost surely, 2^73226820000 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 73226820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131960084256).

73226820000 is an abundant number, since it is smaller than the sum of its proper divisors (190693348512).

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

73226820000 is a wasteful number, since it uses less digits than its factorization.

73226820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 73226820000 in words is "seventy-three billion, two hundred twenty-six million, eight hundred twenty thousand".