73605474680832 has 456 divisors, whose sum is σ = 219889113522000. Its totient is φ = 23707640659968.

The previous prime is 73605474680819. The next prime is 73605474680839. The reversal of 73605474680832 is 23808647450637.

73605474680832 is a `hidden beast` number, since 7 + 3 + 6 + 0 + 5 + 474 + 6 + 80 + 83 + 2 = 666.

73605474680832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×73605474680832² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73605474680832.

It is not an unprimeable number, because it can be changed into a prime (73605474680839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13006796019 + ... + 13006801677.

It is an arithmetic number, because the mean of its divisors is an integer number (482212968250).

Almost surely, 2^{73605474680832} is an apocalyptic number.

73605474680832 is a gapful number since it is divisible by the number (72) 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 73605474680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109944556761000).

73605474680832 is an abundant number, since it is smaller than the sum of its proper divisors (146283638841168).

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

73605474680832 is an equidigital number, since it uses as much as digits as its factorization.

73605474680832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 73605474680832 in words is "seventy-three trillion, six hundred five billion, four hundred seventy-four million, six hundred eighty thousand, eight hundred thirty-two".