73045952784 has 240 divisors, whose sum is σ = 253129548672. Its totient is φ = 19185610752.

The previous prime is 73045952779. The next prime is 73045952797. The reversal of 73045952784 is 48725954037.

It is a happy number.

73045952784 is a `hidden beast` number, since 7 + 30 + 4 + 5 + 9 + 527 + 84 = 666.

It is a super-2 number, since 2×73045952784² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73045952784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687282 + ... + 786414.

Almost surely, 2^73045952784 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 73045952784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126564774336).

73045952784 is an abundant number, since it is smaller than the sum of its proper divisors (180083595888).

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

73045952784 is a wasteful number, since it uses less digits than its factorization.

73045952784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99214 (or 99205 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 73045952784 in words is "seventy-three billion, forty-five million, nine hundred fifty-two thousand, seven hundred eighty-four".