80505332064 has 144 divisors (see below), whose sum is σ = 232847767152. Its totient is φ = 26379177984.

The previous prime is 80505332053. The next prime is 80505332099. The reversal of 80505332064 is 46023350508.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×80505332064² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 6448132 + ... + 6460604.

It is an arithmetic number, because the mean of its divisors is an integer number (1616998383).

Almost surely, 2^80505332064 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 80505332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116423883576).

80505332064 is an abundant number, since it is smaller than the sum of its proper divisors (152342435088).

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

80505332064 is a wasteful number, since it uses less digits than its factorization.

80505332064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12869 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 80505332064 in words is "eighty billion, five hundred five million, three hundred thirty-two thousand, sixty-four".