16629029400 has 192 divisors, whose sum is σ = 54714890880. Its totient is φ = 4163430400.

The previous prime is 16629029341. The next prime is 16629029401. The reversal of 16629029400 is 492092661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16629029401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4761655 + ... + 4765145.

It is an arithmetic number, because the mean of its divisors is an integer number (284973390).

Almost surely, 2^16629029400 is an apocalyptic number.

16629029400 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 16629029400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27357445440).

16629029400 is an abundant number, since it is smaller than the sum of its proper divisors (38085861480).

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

16629029400 is a wasteful number, since it uses less digits than its factorization.

16629029400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 16629029400 in words is "sixteen billion, six hundred twenty-nine million, twenty-nine thousand, four hundred".