16727364400 has 120 divisors (see below), whose sum is σ = 43667840000. Its totient is φ = 6134227200.

The previous prime is 16727364383. The next prime is 16727364443. The reversal of 16727364400 is 446372761.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200101 + ... + 271099.

Almost surely, 2^16727364400 is an apocalyptic number.

16727364400 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 16727364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833920000).

16727364400 is an abundant number, since it is smaller than the sum of its proper divisors (26940475600).

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

16727364400 is a wasteful number, since it uses less digits than its factorization.

16727364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71067 (or 71056 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 16727364400 in words is "sixteen billion, seven hundred twenty-seven million, three hundred sixty-four thousand, four hundred".