16638633792 has 336 divisors, whose sum is σ = 56804966400. Its totient is φ = 4775708160.

The previous prime is 16638633731. The next prime is 16638633793. The reversal of 16638633792 is 29733683661.

16638633792 is a `hidden beast` number, since 166 + 386 + 33 + 79 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16638633793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3247809 + ... + 3252927.

It is an arithmetic number, because the mean of its divisors is an integer number (169062400).

Almost surely, 2^16638633792 is an apocalyptic number.

16638633792 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 16638633792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28402483200).

16638633792 is an abundant number, since it is smaller than the sum of its proper divisors (40166332608).

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

16638633792 is a wasteful number, since it uses less digits than its factorization.

16638633792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5154 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 16638633792 in words is "sixteen billion, six hundred thirty-eight million, six hundred thirty-three thousand, seven hundred ninety-two".