73518906006 has 96 divisors (see below), whose sum is σ = 196427562240. Its totient is φ = 19352302272.

The previous prime is 73518905989. The next prime is 73518906007. The reversal of 73518906006 is 60060981537.

It is a happy number.

73518906006 is a `hidden beast` number, since 7 + 35 + 1 + 8 + 9 + 0 + 600 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73518906007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813765 + ... + 899583.

It is an arithmetic number, because the mean of its divisors is an integer number (2046120440).

Almost surely, 2^73518906006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73518906006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98213781120).

73518906006 is an abundant number, since it is smaller than the sum of its proper divisors (122908656234).

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

73518906006 is a wasteful number, since it uses less digits than its factorization.

73518906006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86370 (or 86367 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 73518906006 in words is "seventy-three billion, five hundred eighteen million, nine hundred six thousand, six".