1899785664 has 336 divisors, whose sum is σ = 6600809760. Its totient is φ = 540836352.

The previous prime is 1899785651. The next prime is 1899785681. The reversal of 1899785664 is 4665879981.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (26127360) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6858294 + ... + 6858570.

Almost surely, 2^1899785664 is an apocalyptic number.

1899785664 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 1899785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300404880).

1899785664 is an abundant number, since it is smaller than the sum of its proper divisors (4701024096).

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

1899785664 is an frugal number, since it uses more digits than its factorization.

1899785664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 289 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 1899785664 is about 43586.5307635283. The cubic root of 1899785664 is about 1238.5157544585.

The spelling of 1899785664 in words is "one billion, eight hundred ninety-nine million, seven hundred eighty-five thousand, six hundred sixty-four".