16644441600 has 480 divisors, whose sum is σ = 64709742240. Its totient is φ = 4175953920.

The previous prime is 16644441589. The next prime is 16644441607. The reversal of 16644441600 is 614444661.

16644441600 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 4 + 4 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16644441607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5873784 + ... + 5876616.

It is an arithmetic number, because the mean of its divisors is an integer number (134811963).

Almost surely, 2^16644441600 is an apocalyptic number.

16644441600 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 16644441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32354871120).

16644441600 is an abundant number, since it is smaller than the sum of its proper divisors (48065300640).

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

16644441600 is a wasteful number, since it uses less digits than its factorization.

16644441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 16644441600 in words is "sixteen billion, six hundred forty-four million, four hundred forty-one thousand, six hundred".