16642729440 has 576 divisors, whose sum is σ = 61138022400. Its totient is φ = 4115865600.

The previous prime is 16642729421. The next prime is 16642729457. The reversal of 16642729440 is 4492724661.

16642729440 is a `hidden beast` number, since 166 + 4 + 27 + 29 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186996916 + ... + 186997004.

It is an arithmetic number, because the mean of its divisors is an integer number (106142400).

Almost surely, 2^16642729440 is an apocalyptic number.

16642729440 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 16642729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30569011200).

16642729440 is an abundant number, since it is smaller than the sum of its proper divisors (44495292960).

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

16642729440 is a wasteful number, since it uses less digits than its factorization.

16642729440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 16642729440 in words is "sixteen billion, six hundred forty-two million, seven hundred twenty-nine thousand, four hundred forty".