16828621632 has 168 divisors, whose sum is σ = 50882763360. Its totient is φ = 5303024640.

The previous prime is 16828621627. The next prime is 16828621637. The reversal of 16828621632 is 23612682861.

16828621632 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 8 + 6 + 2 + 1 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (16828621627) and next prime (16828621637).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16828621637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6247678 + ... + 6250370.

Almost surely, 2^16828621632 is an apocalyptic number.

16828621632 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 16828621632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25441381680).

16828621632 is an abundant number, since it is smaller than the sum of its proper divisors (34054141728).

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

16828621632 is a wasteful number, since it uses less digits than its factorization.

16828621632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301 (or 3288 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 16828621632 in words is "sixteen billion, eight hundred twenty-eight million, six hundred twenty-one thousand, six hundred thirty-two".