1664328480 has 96 divisors (see below), whose sum is σ = 5301676800. Its totient is φ = 438822912.

The previous prime is 1664328467. The next prime is 1664328499. The reversal of 1664328480 is 848234661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1664328480² = 5539978578678220800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23241 + ... + 62199.

It is an arithmetic number, because the mean of its divisors is an integer number (55225800).

Almost surely, 2^1664328480 is an apocalyptic number.

1664328480 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 1664328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650838400).

1664328480 is an abundant number, since it is smaller than the sum of its proper divisors (3637348320).

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

1664328480 is a wasteful number, since it uses less digits than its factorization.

1664328480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39066 (or 39058 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 1664328480 is about 40796.1821743163. The cubic root of 1664328480 is about 1185.0763966484.

The spelling of 1664328480 in words is "one billion, six hundred sixty-four million, three hundred twenty-eight thousand, four hundred eighty".