73327680000 has 1200 divisors, whose sum is σ = 293149112256. Its totient is φ = 18247680000.

The previous prime is 73327679987. The next prime is 73327680007. The reversal of 73327680000 is 8672337.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73327680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1788479980 + ... + 1788480020.

Almost surely, 2^73327680000 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 73327680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146574556128).

73327680000 is an abundant number, since it is smaller than the sum of its proper divisors (219821432256).

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

73327680000 is an frugal number, since it uses more digits than its factorization.

73327680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 73327680000 in words is "seventy-three billion, three hundred twenty-seven million, six hundred eighty thousand".