73244347488 has 288 divisors, whose sum is σ = 231250324032. Its totient is φ = 21850214400.

The previous prime is 73244347453. The next prime is 73244347489. The reversal of 73244347488 is 88474344237.

73244347488 is a `hidden beast` number, since 73 + 24 + 4 + 3 + 474 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73244347489) 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 47 ways as a sum of consecutive naturals, for example, 16213006 + ... + 16217522.

It is an arithmetic number, because the mean of its divisors is an integer number (802952514).

Almost surely, 2^73244347488 is an apocalyptic number.

73244347488 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73244347488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115625162016).

73244347488 is an abundant number, since it is smaller than the sum of its proper divisors (158005976544).

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

73244347488 is a wasteful number, since it uses less digits than its factorization.

73244347488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 4667 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 73244347488 in words is "seventy-three billion, two hundred forty-four million, three hundred forty-seven thousand, four hundred eighty-eight".