73535794434560 has 320 divisors, whose sum is σ = 189815719230720. Its totient is φ = 27236211425280.

The previous prime is 73535794434559. The next prime is 73535794434581. The reversal of 73535794434560 is 6543449753537.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677938730 + ... + 678047190.

It is an arithmetic number, because the mean of its divisors is an integer number (593174122596).

Almost surely, 2^{73535794434560} 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 73535794434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94907859615360).

73535794434560 is an abundant number, since it is smaller than the sum of its proper divisors (116279924796160).

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

73535794434560 is a wasteful number, since it uses less digits than its factorization.

73535794434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108819 (or 108803 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 65.

The spelling of 73535794434560 in words is "seventy-three trillion, five hundred thirty-five billion, seven hundred ninety-four million, four hundred thirty-four thousand, five hundred sixty".