73599567900960 has 192 divisors, whose sum is σ = 233623274782464. Its totient is φ = 19475748864000.

The previous prime is 73599567900931. The next prime is 73599567900961. The reversal of 73599567900960 is 6900976599537.

It is not an unprimeable number, because it can be changed into a prime (73599567900961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67371900 + ... + 68455620.

It is an arithmetic number, because the mean of its divisors is an integer number (1216787889492).

Almost surely, 2^{73599567900960} 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 73599567900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116811637391232).

73599567900960 is an abundant number, since it is smaller than the sum of its proper divisors (160023706881504).

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

73599567900960 is a wasteful number, since it uses less digits than its factorization.

73599567900960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084827 (or 1084819 counting only the distinct ones).

The product of its (nonzero) digits is 868020300, while the sum is 75.

The spelling of 73599567900960 in words is "seventy-three trillion, five hundred ninety-nine billion, five hundred sixty-seven million, nine hundred thousand, nine hundred sixty".