1664745040 has 160 divisors (see below), whose sum is σ = 4707198720. Its totient is φ = 534822912.

The previous prime is 1664745013. The next prime is 1664745053. The reversal of 1664745040 is 405474661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1031274 + ... + 1032886.

It is an arithmetic number, because the mean of its divisors is an integer number (29419992).

Almost surely, 2^1664745040 is an apocalyptic number.

1664745040 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 1664745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353599360).

1664745040 is an abundant number, since it is smaller than the sum of its proper divisors (3042453680).

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

1664745040 is a wasteful number, since it uses less digits than its factorization.

1664745040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 1664745040 is about 40801.2872345959. The cubic root of 1664745040 is about 1185.1752581914.

The spelling of 1664745040 in words is "one billion, six hundred sixty-four million, seven hundred forty-five thousand, forty".