73314046080 has 640 divisors, whose sum is σ = 289247112000. Its totient is φ = 17547632640.

The previous prime is 73314046079. The next prime is 73314046093. The reversal of 73314046080 is 8064041337.

73314046080 is a `hidden beast` number, since 7 + 3 + 3 + 1 + 40 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47329146 + ... + 47330694.

Almost surely, 2^73314046080 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 73314046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144623556000).

73314046080 is an abundant number, since it is smaller than the sum of its proper divisors (215933065920).

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

73314046080 is a wasteful number, since it uses less digits than its factorization.

73314046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 73314046080 in words is "seventy-three billion, three hundred fourteen million, forty-six thousand, eighty".