16727794237440 has 3600 divisors, whose sum is σ = 76069865529504. Its totient is φ = 3465333964800.

The previous prime is 16727794237439. The next prime is 16727794237447. The reversal of 16727794237440 is 4473249772761.

It is a happy number.

16727794237440 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 77 + 94 + 2 + 37 + 440 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16727794237447) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 274226135010 + ... + 274226135070.

Almost surely, 2^{16727794237440} is an apocalyptic number.

16727794237440 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 16727794237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38034932764752).

16727794237440 is an abundant number, since it is smaller than the sum of its proper divisors (59342071292064).

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

16727794237440 is a wasteful number, since it uses less digits than its factorization.

16727794237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 16727794237440 in words is "sixteen trillion, seven hundred twenty-seven billion, seven hundred ninety-four million, two hundred thirty-seven thousand, four hundred forty".