73082134944 has 576 divisors, whose sum is σ = 275589070848. Its totient is φ = 17837107200.

The previous prime is 73082134933. The next prime is 73082134987. The reversal of 73082134944 is 44943128037.

73082134944 is a `hidden beast` number, since 73 + 0 + 82 + 13 + 494 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 73082134944.

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, 18684349 + ... + 18688259.

It is an arithmetic number, because the mean of its divisors is an integer number (478453248).

Almost surely, 2^73082134944 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 73082134944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137794535424).

73082134944 is an abundant number, since it is smaller than the sum of its proper divisors (202506935904).

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

73082134944 is a wasteful number, since it uses less digits than its factorization.

73082134944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 73082134944 in words is "seventy-three billion, eighty-two million, one hundred thirty-four thousand, nine hundred forty-four".