73027573344 has 216 divisors, whose sum is σ = 228647358576. Its totient is φ = 22092787200.

The previous prime is 73027573271. The next prime is 73027573361. The reversal of 73027573344 is 44337572037.

73027573344 is a `hidden beast` number, since 7 + 30 + 2 + 7 + 573 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 73027573344.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 26936149 + ... + 26938859.

It is an arithmetic number, because the mean of its divisors is an integer number (1058552586).

Almost surely, 2^73027573344 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 73027573344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114323679288).

73027573344 is an abundant number, since it is smaller than the sum of its proper divisors (155619785232).

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

73027573344 is a wasteful number, since it uses less digits than its factorization.

73027573344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 45.

The spelling of 73027573344 in words is "seventy-three billion, twenty-seven million, five hundred seventy-three thousand, three hundred forty-four".