16434618720 has 384 divisors, whose sum is σ = 58521222144. Its totient is φ = 3846610944.

The previous prime is 16434618677. The next prime is 16434618749. The reversal of 16434618720 is 2781643461.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44060454 + ... + 44060826.

It is an arithmetic number, because the mean of its divisors is an integer number (152399016).

Almost surely, 2^16434618720 is an apocalyptic number.

16434618720 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 16434618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29260611072).

16434618720 is an abundant number, since it is smaller than the sum of its proper divisors (42086603424).

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

16434618720 is a wasteful number, since it uses less digits than its factorization.

16434618720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 16434618720 in words is "sixteen billion, four hundred thirty-four million, six hundred eighteen thousand, seven hundred twenty".