1725569664 has 512 divisors, whose sum is σ = 6251212800. Its totient is φ = 408748032.

The previous prime is 1725569653. The next prime is 1725569669. The reversal of 1725569664 is 4669655271.

Its product of digits (2721600) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (1725569669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15270472 + ... + 15270584.

It is an arithmetic number, because the mean of its divisors is an integer number (12209400).

Almost surely, 2^1725569664 is an apocalyptic number.

1725569664 is a gapful number since it is divisible by the number (14) 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 1725569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125606400).

1725569664 is an abundant number, since it is smaller than the sum of its proper divisors (4525643136).

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

1725569664 is a wasteful number, since it uses less digits than its factorization.

1725569664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 1725569664 is about 41539.9766971528. The cubic root of 1725569664 is about 1199.4371582712.

The spelling of 1725569664 in words is "one billion, seven hundred twenty-five million, five hundred sixty-nine thousand, six hundred sixty-four".