1324577664 has 128 divisors (see below), whose sum is σ = 3922348800. Its totient is φ = 440059392.

The previous prime is 1324577663. The next prime is 1324577669. The reversal of 1324577664 is 4667754231.

1324577664 is a `hidden beast` number, since 13 + 2 + 4 + 577 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324577663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1682679 + ... + 1683465.

It is an arithmetic number, because the mean of its divisors is an integer number (30643350).

Almost surely, 2^1324577664 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 1324577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961174400).

1324577664 is an abundant number, since it is smaller than the sum of its proper divisors (2597771136).

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

1324577664 is an equidigital number, since it uses as much as digits as its factorization.

1324577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1279 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 1324577664 is about 36394.7477529382. The cubic root of 1324577664 is about 1098.2279081387.

It can be divided in two parts, 13245 and 77664, that added together give a palindrome (90909).

The spelling of 1324577664 in words is "one billion, three hundred twenty-four million, five hundred seventy-seven thousand, six hundred sixty-four".