73241456640 has 416 divisors, whose sum is σ = 257207360256. Its totient is φ = 17647534080.

The previous prime is 73241456591. The next prime is 73241456663. The reversal of 73241456640 is 4665414237.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73241456592 and 73241456601.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 207482704 + ... + 207483056.

Almost surely, 2^73241456640 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 73241456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128603680128).

73241456640 is an abundant number, since it is smaller than the sum of its proper divisors (183965903616).

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

73241456640 is a wasteful number, since it uses less digits than its factorization.

73241456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 73241456640 in words is "seventy-three billion, two hundred forty-one million, four hundred fifty-six thousand, six hundred forty".