73356224640 has 128 divisors (see below), whose sum is σ = 234872870400. Its totient is φ = 19473825792.

The previous prime is 73356224611. The next prime is 73356224647. The reversal of 73356224640 is 4642265337.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×73356224640² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73356224592 and 73356224601.

It is not an unprimeable number, because it can be changed into a prime (73356224647) 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 15 ways as a sum of consecutive naturals, for example, 342496 + ... + 513824.

It is an arithmetic number, because the mean of its divisors is an integer number (1834944300).

Almost surely, 2^73356224640 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 73356224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117436435200).

73356224640 is an abundant number, since it is smaller than the sum of its proper divisors (161516645760).

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

73356224640 is a wasteful number, since it uses less digits than its factorization.

73356224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171574 (or 171562 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

Adding to 73356224640 its reverse (4642265337), we get a palindrome (77998489977).

The spelling of 73356224640 in words is "seventy-three billion, three hundred fifty-six million, two hundred twenty-four thousand, six hundred forty".