1664368464 has 160 divisors (see below), whose sum is σ = 4922006400. Its totient is φ = 479969280.

The previous prime is 1664368463. The next prime is 1664368477. The reversal of 1664368464 is 4648634661.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664368463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1117032 + ... + 1118520.

It is an arithmetic number, because the mean of its divisors is an integer number (30762540).

Almost surely, 2^1664368464 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 1664368464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461003200).

1664368464 is an abundant number, since it is smaller than the sum of its proper divisors (3257637936).

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

1664368464 is a wasteful number, since it uses less digits than its factorization.

1664368464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1607 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 1664368464 is about 40796.6722172287. The cubic root of 1664368464 is about 1185.0858867052.

The spelling of 1664368464 in words is "one billion, six hundred sixty-four million, three hundred sixty-eight thousand, four hundred sixty-four".