73496831616 has 768 divisors, whose sum is σ = 250213017600. Its totient is φ = 20530298880.

The previous prime is 73496831593. The next prime is 73496831657. The reversal of 73496831616 is 61613869437.

It is a happy number.

73496831616 is a `hidden beast` number, since 73 + 496 + 83 + 1 + 6 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 713561421 + ... + 713561523.

It is an arithmetic number, because the mean of its divisors is an integer number (325798200).

Almost surely, 2^73496831616 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 73496831616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125106508800).

73496831616 is an abundant number, since it is smaller than the sum of its proper divisors (176716185984).

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

73496831616 is a wasteful number, since it uses less digits than its factorization.

73496831616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 73496831616 in words is "seventy-three billion, four hundred ninety-six million, eight hundred thirty-one thousand, six hundred sixteen".