73322434504800 has 2160 divisors, whose sum is σ = 296295893974080. Its totient is φ = 17704697886720.

The previous prime is 73322434504691. The next prime is 73322434504841. The reversal of 73322434504800 is 840543422337.

73322434504800 is a `hidden beast` number, since 7 + 3 + 3 + 22 + 43 + 4 + 504 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 157007354167 + ... + 157007354633.

It is an arithmetic number, because the mean of its divisors is an integer number (137174024988).

Almost surely, 2^{73322434504800} 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 73322434504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148147946987040).

73322434504800 is an abundant number, since it is smaller than the sum of its proper divisors (222973459469280).

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

73322434504800 is an equidigital number, since it uses as much as digits as its factorization.

73322434504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 73322434504800 in words is "seventy-three trillion, three hundred twenty-two billion, four hundred thirty-four million, five hundred four thousand, eight hundred".