16384021632 has 320 divisors, whose sum is σ = 55998122400. Its totient is φ = 4702924800.

The previous prime is 16384021631. The next prime is 16384021657. The reversal of 16384021632 is 23612048361.

16384021632 is a `hidden beast` number, since 1 + 638 + 4 + 0 + 2 + 16 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16384021631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2163132 + ... + 2170692.

Almost surely, 2^16384021632 is an apocalyptic number.

16384021632 is a gapful number since it is divisible by the number (12) 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 16384021632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27999061200).

16384021632 is an abundant number, since it is smaller than the sum of its proper divisors (39614100768).

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

16384021632 is a wasteful number, since it uses less digits than its factorization.

16384021632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 16384021632 its reverse (23612048361), we get a palindrome (39996069993).

The spelling of 16384021632 in words is "sixteen billion, three hundred eighty-four million, twenty-one thousand, six hundred thirty-two".