73539047041824 has 576 divisors, whose sum is σ = 251706705997824. Its totient is φ = 18304058529792.

The previous prime is 73539047041807. The next prime is 73539047041849. The reversal of 73539047041824 is 42814074093537.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 829377717 + ... + 829466379.

It is an arithmetic number, because the mean of its divisors is an integer number (436990809024).

Almost surely, 2^{73539047041824} 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 73539047041824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125853352998912).

73539047041824 is an abundant number, since it is smaller than the sum of its proper divisors (178167658956000).

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

73539047041824 is a wasteful number, since it uses less digits than its factorization.

73539047041824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88997 (or 88970 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 73539047041824 in words is "seventy-three trillion, five hundred thirty-nine billion, forty-seven million, forty-one thousand, eight hundred twenty-four".