73084456704 has 144 divisors (see below), whose sum is σ = 227469009152. Its totient is φ = 20395597824.

The previous prime is 73084456681. The next prime is 73084456717. The reversal of 73084456704 is 40765448037.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 73092 + ... + 389244.

Almost surely, 2^73084456704 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 73084456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113734504576).

73084456704 is an abundant number, since it is smaller than the sum of its proper divisors (154384552448).

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

73084456704 is a wasteful number, since it uses less digits than its factorization.

73084456704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316222 (or 316208 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 73084456704 in words is "seventy-three billion, eighty-four million, four hundred fifty-six thousand, seven hundred four".