1909073664 has 144 divisors (see below), whose sum is σ = 5680684800. Its totient is φ = 632392704.

The previous prime is 1909073657. The next prime is 1909073681. The reversal of 1909073664 is 4663709091.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1236477 + ... + 1238019.

It is an arithmetic number, because the mean of its divisors is an integer number (39449200).

Almost surely, 2^1909073664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1909073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840342400).

1909073664 is an abundant number, since it is smaller than the sum of its proper divisors (3771611136).

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

1909073664 is a wasteful number, since it uses less digits than its factorization.

1909073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1909073664 is about 43692.9475316097. The cubic root of 1909073664 is about 1240.5308306505.

The spelling of 1909073664 in words is "one billion, nine hundred nine million, seventy-three thousand, six hundred sixty-four".