1799943264 has 360 divisors, whose sum is σ = 6331492440. Its totient is φ = 483646464.

The previous prime is 1799943227. The next prime is 1799943331. The reversal of 1799943264 is 4623499971.

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

Its product of digits (2939328) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 1799943264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13138204 + ... + 13138340.

It is an arithmetic number, because the mean of its divisors is an integer number (17587479).

Almost surely, 2^1799943264 is an apocalyptic number.

1799943264 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 1799943264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165746220).

1799943264 is an abundant number, since it is smaller than the sum of its proper divisors (4531549176).

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

1799943264 is a wasteful number, since it uses less digits than its factorization.

1799943264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 1799943264 is about 42425.7382257516. The cubic root of 1799943264 is about 1216.4276182466.

The spelling of 1799943264 in words is "one billion, seven hundred ninety-nine million, nine hundred forty-three thousand, two hundred sixty-four".