1664752320 has 336 divisors, whose sum is σ = 7139927808. Its totient is φ = 345876480.

The previous prime is 1664752261. The next prime is 1664752321. The reversal of 1664752320 is 232574661.

1664752320 is a `hidden beast` number, since 1 + 6 + 647 + 5 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (1664752321) 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 47 ways as a sum of consecutive naturals, for example, 218007 + ... + 225513.

Almost surely, 2^1664752320 is an apocalyptic number.

1664752320 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 1664752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569963904).

1664752320 is an abundant number, since it is smaller than the sum of its proper divisors (5475175488).

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

1664752320 is a wasteful number, since it uses less digits than its factorization.

1664752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1664752320 is about 40801.3764473700. The cubic root of 1664752320 is about 1185.1769857959.

The spelling of 1664752320 in words is "one billion, six hundred sixty-four million, seven hundred fifty-two thousand, three hundred twenty".