73897750540800 has 720 divisors, whose sum is σ = 281581771854240. Its totient is φ = 18443185029120.

The previous prime is 73897750540729. The next prime is 73897750540879. The reversal of 73897750540800 is 804505779837.

73897750540800 is a `hidden beast` number, since 7 + 3 + 8 + 9 + 7 + 7 + 5 + 0 + 540 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 350448199 + ... + 350659001.

It is an arithmetic number, because the mean of its divisors is an integer number (391085794242).

Almost surely, 2^{73897750540800} 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 73897750540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140790885927120).

73897750540800 is an abundant number, since it is smaller than the sum of its proper divisors (207684021313440).

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

73897750540800 is a wasteful number, since it uses less digits than its factorization.

73897750540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211033 (or 211009 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 73897750540800 in words is "seventy-three trillion, eight hundred ninety-seven billion, seven hundred fifty million, five hundred forty thousand, eight hundred".