73668749184 has 512 divisors, whose sum is σ = 235243008000. Its totient is φ = 22643712000.

The previous prime is 73668749183. The next prime is 73668749221. The reversal of 73668749184 is 48194786637.

73668749184 is a `hidden beast` number, since 7 + 3 + 6 + 68 + 7 + 491 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73668749183) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407009574 + ... + 407009754.

It is an arithmetic number, because the mean of its divisors is an integer number (459459000).

Almost surely, 2^73668749184 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 73668749184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117621504000).

73668749184 is an abundant number, since it is smaller than the sum of its proper divisors (161574258816).

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

73668749184 is a wasteful number, since it uses less digits than its factorization.

73668749184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 73668749184 in words is "seventy-three billion, six hundred sixty-eight million, seven hundred forty-nine thousand, one hundred eighty-four".