16765505064 has 384 divisors, whose sum is σ = 60618055680. Its totient is φ = 4213036800.

The previous prime is 16765505047. The next prime is 16765505093. The reversal of 16765505064 is 46050556761.

16765505064 is a `hidden beast` number, since 16 + 76 + 5 + 505 + 0 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4638522 + ... + 4642134.

It is an arithmetic number, because the mean of its divisors is an integer number (157859520).

Almost surely, 2^16765505064 is an apocalyptic number.

16765505064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16765505064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30309027840).

16765505064 is an abundant number, since it is smaller than the sum of its proper divisors (43852550616).

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

16765505064 is a wasteful number, since it uses less digits than its factorization.

16765505064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 16765505064 in words is "sixteen billion, seven hundred sixty-five million, five hundred five thousand, sixty-four".