73278746910720 has 1792 divisors, whose sum is σ = 302734500122880. Its totient is φ = 16653534363648.

The previous prime is 73278746910679. The next prime is 73278746910739. The reversal of 73278746910720 is 2701964787237.

73278746910720 is a `hidden beast` number, since 7 + 3 + 27 + 87 + 469 + 1 + 0 + 72 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12953638132 + ... + 12953643788.

It is an arithmetic number, because the mean of its divisors is an integer number (168936663015).

Almost surely, 2^{73278746910720} 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 73278746910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151367250061440).

73278746910720 is an abundant number, since it is smaller than the sum of its proper divisors (229455753212160).

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

73278746910720 is a wasteful number, since it uses less digits than its factorization.

73278746910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 73278746910720 in words is "seventy-three trillion, two hundred seventy-eight billion, seven hundred forty-six million, nine hundred ten thousand, seven hundred twenty".