73980933324672 has 1024 divisors, whose sum is σ = 237670922649600. Its totient is φ = 20147871744000.

The previous prime is 73980933324653. The next prime is 73980933324709. The reversal of 73980933324672 is 27642333908937.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37919493297 + ... + 37919495247.

It is an arithmetic number, because the mean of its divisors is an integer number (232100510400).

Almost surely, 2^{73980933324672} 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 73980933324672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118835461324800).

73980933324672 is an abundant number, since it is smaller than the sum of its proper divisors (163689989324928).

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

73980933324672 is a wasteful number, since it uses less digits than its factorization.

73980933324672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 66.

The spelling of 73980933324672 in words is "seventy-three trillion, nine hundred eighty billion, nine hundred thirty-three million, three hundred twenty-four thousand, six hundred seventy-two".