16327645440 has 288 divisors, whose sum is σ = 56669491200. Its totient is φ = 3991265280.

The previous prime is 16327645391. The next prime is 16327645441. The reversal of 16327645440 is 4454672361.

It is a happy number.

It is a super-2 number, since 2×16327645440² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16327645392 and 16327645401.

It is not an unprimeable number, because it can be changed into a prime (16327645441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2258151 + ... + 2265369.

Almost surely, 2^16327645440 is an apocalyptic number.

16327645440 is a gapful number since it is divisible by the number (10) 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 16327645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28334745600).

16327645440 is an abundant number, since it is smaller than the sum of its proper divisors (40341845760).

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

16327645440 is a wasteful number, since it uses less digits than its factorization.

16327645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293 (or 7279 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 16327645440 in words is "sixteen billion, three hundred twenty-seven million, six hundred forty-five thousand, four hundred forty".