16832297664 has 560 divisors, whose sum is σ = 63446777856. Its totient is φ = 4292352000.

The previous prime is 16832297627. The next prime is 16832297687. The reversal of 16832297664 is 46679223861.

16832297664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 16832297664.

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, 14623489 + ... + 14624639.

Almost surely, 2^16832297664 is an apocalyptic number.

16832297664 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 16832297664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31723388928).

16832297664 is an abundant number, since it is smaller than the sum of its proper divisors (46614480192).

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

16832297664 is a wasteful number, since it uses less digits than its factorization.

16832297664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1207 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 16832297664 in words is "sixteen billion, eight hundred thirty-two million, two hundred ninety-seven thousand, six hundred sixty-four".