1664199264 has 192 divisors, whose sum is σ = 5409524736. Its totient is φ = 436230144.

The previous prime is 1664199263. The next prime is 1664199269. The reversal of 1664199264 is 4629914661.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664199263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720509 + ... + 1721475.

It is an arithmetic number, because the mean of its divisors is an integer number (28174608).

Almost surely, 2^1664199264 is an apocalyptic number.

1664199264 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 1664199264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704762368).

1664199264 is an abundant number, since it is smaller than the sum of its proper divisors (3745325472).

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

1664199264 is a wasteful number, since it uses less digits than its factorization.

1664199264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1189 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 1664199264 is about 40794.5984659734. The cubic root of 1664199264 is about 1185.0457266622.

The spelling of 1664199264 in words is "one billion, six hundred sixty-four million, one hundred ninety-nine thousand, two hundred sixty-four".