16726825440 has 576 divisors, whose sum is σ = 65443158144. Its totient is φ = 3858776064.

The previous prime is 16726825421. The next prime is 16726825447. The reversal of 16726825440 is 4452862761.

16726825440 is a `hidden beast` number, since 1 + 6 + 7 + 26 + 82 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16726825447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22819314 + ... + 22820046.

It is an arithmetic number, because the mean of its divisors is an integer number (113616594).

Almost surely, 2^16726825440 is an apocalyptic number.

16726825440 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 16726825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32721579072).

16726825440 is an abundant number, since it is smaller than the sum of its proper divisors (48716332704).

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

16726825440 is a wasteful number, since it uses less digits than its factorization.

16726825440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 16726825440 in words is "sixteen billion, seven hundred twenty-six million, eight hundred twenty-five thousand, four hundred forty".