1664800480 has 144 divisors (see below), whose sum is σ = 4844747376. Its totient is φ = 537169920.

The previous prime is 1664800469. The next prime is 1664800483. The reversal of 1664800480 is 840084661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664800483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127035 + ... + 139525.

It is an arithmetic number, because the mean of its divisors is an integer number (33644079).

Almost surely, 2^1664800480 is an apocalyptic number.

1664800480 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 1664800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422373688).

1664800480 is an abundant number, since it is smaller than the sum of its proper divisors (3179946896).

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

1664800480 is a wasteful number, since it uses less digits than its factorization.

1664800480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12537 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 1664800480 is about 40801.9666192697. The cubic root of 1664800480 is about 1185.1884144376.

The spelling of 1664800480 in words is "one billion, six hundred sixty-four million, eight hundred thousand, four hundred eighty".