16764837264 has 360 divisors, whose sum is σ = 59959823040. Its totient is φ = 4339754496.

The previous prime is 16764837223. The next prime is 16764837281. The reversal of 16764837264 is 46273846761.

16764837264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16764837264.

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 71 ways as a sum of consecutive naturals, for example, 3080754 + ... + 3086190.

It is an arithmetic number, because the mean of its divisors is an integer number (166555064).

Almost surely, 2^16764837264 is an apocalyptic number.

16764837264 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 16764837264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29979911520).

16764837264 is an abundant number, since it is smaller than the sum of its proper divisors (43194985776).

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

16764837264 is a wasteful number, since it uses less digits than its factorization.

16764837264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5491 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 16764837264 in words is "sixteen billion, seven hundred sixty-four million, eight hundred thirty-seven thousand, two hundred sixty-four".