73513520784000 has 2048 divisors, whose sum is σ = 316753182720000. Its totient is φ = 16559382528000.

The previous prime is 73513520783987. The next prime is 73513520784007. The reversal of 73513520784000 is 48702531537.

73513520784000 is a `hidden beast` number, since 7 + 3 + 5 + 1 + 35 + 207 + 8 + 400 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (73513520784007) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 6381930241 + ... + 6381941759.

It is an arithmetic number, because the mean of its divisors is an integer number (154664640000).

Almost surely, 2^{73513520784000} 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 73513520784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158376591360000).

73513520784000 is an abundant number, since it is smaller than the sum of its proper divisors (243239661936000).

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

73513520784000 is a wasteful number, since it uses less digits than its factorization.

73513520784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11664 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 73513520784000 in words is "seventy-three trillion, five hundred thirteen billion, five hundred twenty million, seven hundred eighty-four thousand".