1664304768 has 192 divisors, whose sum is σ = 5508734400. Its totient is φ = 472449024.

The previous prime is 1664304737. The next prime is 1664304773. The reversal of 1664304768 is 8674034661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1442880 + ... + 1444032.

It is an arithmetic number, because the mean of its divisors is an integer number (28691325).

Almost surely, 2^1664304768 is an apocalyptic number.

1664304768 is a gapful number since it is divisible by the number (18) 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 1664304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754367200).

1664304768 is an abundant number, since it is smaller than the sum of its proper divisors (3844429632).

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

1664304768 is a wasteful number, since it uses less digits than its factorization.

1664304768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 1664304768 is about 40795.8915578518. The cubic root of 1664304768 is about 1185.0707686198.

The spelling of 1664304768 in words is "one billion, six hundred sixty-four million, three hundred four thousand, seven hundred sixty-eight".