16757764416 has 126 divisors (see below), whose sum is σ = 51025294190. Its totient is φ = 5257285632.

The previous prime is 16757764409. The next prime is 16757764453. The reversal of 16757764416 is 61446775761.

16757764416 is a `hidden beast` number, since 1 + 6 + 7 + 577 + 64 + 4 + 1 + 6 = 666.

16757764416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11258058816 + 5499705600 = 106104^2 + 74160^2 .

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 17 ways as a sum of consecutive naturals, for example, 116130 + ... + 216798.

Almost surely, 2^16757764416 is an apocalyptic number.

16757764416 is a gapful number since it is divisible by the number (16) 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 16757764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25512647095).

16757764416 is an abundant number, since it is smaller than the sum of its proper divisors (34267529774).

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

16757764416 is a wasteful number, since it uses less digits than its factorization.

16757764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100721 (or 100691 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 16757764416 in words is "sixteen billion, seven hundred fifty-seven million, seven hundred sixty-four thousand, four hundred sixteen".