73408641546240 has 6912 divisors, whose sum is σ = 379764487065600. Its totient is φ = 12842119987200.

The previous prime is 73408641546167. The next prime is 73408641546269. The reversal of 73408641546240 is 4264514680437.

73408641546240 is a `hidden beast` number, since 7 + 3 + 4 + 0 + 8 + 6 + 4 + 1 + 5 + 4 + 624 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 380355655584 + ... + 380355655776.

It is an arithmetic number, because the mean of its divisors is an integer number (54942778800).

Almost surely, 2^{73408641546240} is an apocalyptic number.

73408641546240 is a gapful number since it is divisible by the number (70) 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 73408641546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189882243532800).

73408641546240 is an abundant number, since it is smaller than the sum of its proper divisors (306355845519360).

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

73408641546240 is a wasteful number, since it uses less digits than its factorization.

73408641546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 73408641546240 in words is "seventy-three trillion, four hundred eight billion, six hundred forty-one million, five hundred forty-six thousand, two hundred forty".