73341352800 has 720 divisors, whose sum is σ = 285844204800. Its totient is φ = 18245606400.

The previous prime is 73341352783. The next prime is 73341352813. The reversal of 73341352800 is 825314337.

73341352800 is a `hidden beast` number, since 7 + 3 + 341 + 35 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 119 ways as a sum of consecutive naturals, for example, 87414781 + ... + 87415619.

It is an arithmetic number, because the mean of its divisors is an integer number (397005840).

Almost surely, 2^73341352800 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 73341352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142922102400).

73341352800 is an abundant number, since it is smaller than the sum of its proper divisors (212502852000).

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

73341352800 is a wasteful number, since it uses less digits than its factorization.

73341352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 73341352800 in words is "seventy-three billion, three hundred forty-one million, three hundred fifty-two thousand, eight hundred".