73289506680 has 288 divisors, whose sum is σ = 260498216160. Its totient is φ = 17860377600.

The previous prime is 73289506669. The next prime is 73289506709. The reversal of 73289506680 is 8660598237.

It is a happy number.

73289506680 is a `hidden beast` number, since 73 + 2 + 8 + 9 + 506 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6138877 + ... + 6150803.

It is an arithmetic number, because the mean of its divisors is an integer number (904507695).

Almost surely, 2^73289506680 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 73289506680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130249108080).

73289506680 is an abundant number, since it is smaller than the sum of its proper divisors (187208709480).

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

73289506680 is a wasteful number, since it uses less digits than its factorization.

73289506680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12071 (or 12051 counting only the distinct ones).

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

The spelling of 73289506680 in words is "seventy-three billion, two hundred eighty-nine million, five hundred six thousand, six hundred eighty".