73385684107776 has 560 divisors, whose sum is σ = 229997292231168. Its totient is φ = 23357262643200.

The previous prime is 73385684107753. The next prime is 73385684107819. The reversal of 73385684107776 is 67770148658337.

73385684107776 is a `hidden beast` number, since 7 + 3 + 3 + 85 + 68 + 410 + 7 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 719197881 + ... + 719299911.

Almost surely, 2^{73385684107776} 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 73385684107776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114998646115584).

73385684107776 is an abundant number, since it is smaller than the sum of its proper divisors (156611608123392).

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

73385684107776 is an equidigital number, since it uses as much as digits as its factorization.

73385684107776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102155 (or 102124 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 73385684107776 in words is "seventy-three trillion, three hundred eighty-five billion, six hundred eighty-four million, one hundred seven thousand, seven hundred seventy-six".