1664779392 has 256 divisors, whose sum is σ = 5252592000. Its totient is φ = 524040192.

The previous prime is 1664779367. The next prime is 1664779409. The reversal of 1664779392 is 2939774661.

It is a happy number.

1664779392 is a `hidden beast` number, since 166 + 477 + 9 + 3 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5318628 + ... + 5318940.

Almost surely, 2^1664779392 is an apocalyptic number.

1664779392 is a gapful number since it is divisible by the number (12) 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 1664779392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626296000).

1664779392 is an abundant number, since it is smaller than the sum of its proper divisors (3587812608).

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

1664779392 is an frugal number, since it uses more digits than its factorization.

1664779392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 337 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 1664779392 is about 40801.7081995350. The cubic root of 1664779392 is about 1185.1834101625.

The spelling of 1664779392 in words is "one billion, six hundred sixty-four million, seven hundred seventy-nine thousand, three hundred ninety-two".