73133536608 has 336 divisors, whose sum is σ = 237870936576. Its totient is φ = 21938584320.

The previous prime is 73133536573. The next prime is 73133536643. The reversal of 73133536608 is 80663533137.

73133536608 is a `hidden beast` number, since 7 + 3 + 1 + 3 + 3 + 5 + 36 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (73133536573) and next prime (73133536643).

It is a super-2 number, since 2×73133536608² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26429241 + ... + 26432007.

It is an arithmetic number, because the mean of its divisors is an integer number (707949216).

Almost surely, 2^73133536608 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 73133536608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118935468288).

73133536608 is an abundant number, since it is smaller than the sum of its proper divisors (164737399968).

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

73133536608 is a wasteful number, since it uses less digits than its factorization.

73133536608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 73133536608 in words is "seventy-three billion, one hundred thirty-three million, five hundred thirty-six thousand, six hundred eight".