16427667200 has 432 divisors, whose sum is σ = 49271846400. Its totient is φ = 5301288960.

The previous prime is 16427667181. The next prime is 16427667203. The reversal of 16427667200 is 276672461.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16427667203) 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, 110252726 + ... + 110252874.

It is an arithmetic number, because the mean of its divisors is an integer number (114055200).

Almost surely, 2^16427667200 is an apocalyptic number.

16427667200 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 16427667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24635923200).

16427667200 is an abundant number, since it is smaller than the sum of its proper divisors (32844179200).

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

16427667200 is a wasteful number, since it uses less digits than its factorization.

16427667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 16427667200 in words is "sixteen billion, four hundred twenty-seven million, six hundred sixty-seven thousand, two hundred".