80624442528 has 480 divisors, whose sum is σ = 286634557440. Its totient is φ = 21717434880.

The previous prime is 80624442491. The next prime is 80624442571. The reversal of 80624442528 is 82524442608.

80624442528 is a `hidden beast` number, since 80 + 6 + 2 + 4 + 4 + 42 + 528 = 666.

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 79 ways as a sum of consecutive naturals, for example, 93423025 + ... + 93423887.

It is an arithmetic number, because the mean of its divisors is an integer number (597155328).

Almost surely, 2^80624442528 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 80624442528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143317278720).

80624442528 is an abundant number, since it is smaller than the sum of its proper divisors (206010114912).

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

80624442528 is a wasteful number, since it uses less digits than its factorization.

80624442528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 80624442528 in words is "eighty billion, six hundred twenty-four million, four hundred forty-two thousand, five hundred twenty-eight".