73813435776 has 192 divisors, whose sum is σ = 216072230400. Its totient is φ = 24182000640.

The previous prime is 73813435771. The next prime is 73813435793. The reversal of 73813435776 is 67753431837.

73813435776 is a `hidden beast` number, since 7 + 38 + 1 + 34 + 3 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73813435771) 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, 30016435 + ... + 30018893.

It is an arithmetic number, because the mean of its divisors is an integer number (1125376200).

Almost surely, 2^73813435776 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 73813435776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108036115200).

73813435776 is an abundant number, since it is smaller than the sum of its proper divisors (142258794624).

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

73813435776 is a wasteful number, since it uses less digits than its factorization.

73813435776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2902 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 73813435776 in words is "seventy-three billion, eight hundred thirteen million, four hundred thirty-five thousand, seven hundred seventy-six".