73364668416 has 396 divisors, whose sum is σ = 239477924088. Its totient is φ = 21592276992.

The previous prime is 73364668411. The next prime is 73364668423. The reversal of 73364668416 is 61486646337.

73364668416 is a `hidden beast` number, since 73 + 36 + 466 + 84 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73364668411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3189768181 + ... + 3189768203.

Almost surely, 2^73364668416 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 73364668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119738962044).

73364668416 is an abundant number, since it is smaller than the sum of its proper divisors (166113255672).

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

73364668416 is an frugal number, since it uses more digits than its factorization.

73364668416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 73364668416 in words is "seventy-three billion, three hundred sixty-four million, six hundred sixty-eight thousand, four hundred sixteen".