73868520960 has 720 divisors, whose sum is σ = 282466929888. Its totient is φ = 17827430400.

The previous prime is 73868520959. The next prime is 73868521033. The reversal of 73868520960 is 6902586837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 73868520897 and 73868520906.

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 71 ways as a sum of consecutive naturals, for example, 237519205 + ... + 237519515.

Almost surely, 2^73868520960 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 73868520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141233464944).

73868520960 is an abundant number, since it is smaller than the sum of its proper divisors (208598408928).

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

73868520960 is a wasteful number, since it uses less digits than its factorization.

73868520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 73868520960 in words is "seventy-three billion, eight hundred sixty-eight million, five hundred twenty thousand, nine hundred sixty".