1664679744 has 378 divisors, whose sum is σ = 6027553350. Its totient is φ = 437778432.

The previous prime is 1664679701. The next prime is 1664679761. The reversal of 1664679744 is 4479764661.

It can be written as a sum of positive squares in 3 ways, for example, as 25401600 + 1639278144 = 5040^2 + 40488^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4769682 + ... + 4770030.

Almost surely, 2^1664679744 is an apocalyptic number.

1664679744 is a gapful number since it is divisible by the number (14) 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 1664679744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013776675).

1664679744 is an abundant number, since it is smaller than the sum of its proper divisors (4362873606).

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

1664679744 is a wasteful number, since it uses less digits than its factorization.

1664679744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 374 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 1664679744 is about 40800.4870559164. The cubic root of 1664679744 is about 1185.1597626823.

The spelling of 1664679744 in words is "one billion, six hundred sixty-four million, six hundred seventy-nine thousand, seven hundred forty-four".