73128775680 has 312 divisors, whose sum is σ = 262242073080. Its totient is φ = 18827182080.

The previous prime is 73128775631. The next prime is 73128775697. The reversal of 73128775680 is 8657782137.

73128775680 is a `hidden beast` number, since 7 + 3 + 1 + 2 + 8 + 77 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23181889536 + 49946886144 = 152256^2 + 223488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5338440 + ... + 5352120.

It is an arithmetic number, because the mean of its divisors is an integer number (840519465).

Almost surely, 2^73128775680 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 73128775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131121036540).

73128775680 is an abundant number, since it is smaller than the sum of its proper divisors (189113297400).

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

73128775680 is a wasteful number, since it uses less digits than its factorization.

73128775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13745 (or 13720 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 73128775680 in words is "seventy-three billion, one hundred twenty-eight million, seven hundred seventy-five thousand, six hundred eighty".