1879323264 has 432 divisors, whose sum is σ = 6846595470. Its totient is φ = 493129728.

The previous prime is 1879323233. The next prime is 1879323301. The reversal of 1879323264 is 4623239781.

It can be written as a sum of positive squares in 3 ways, for example, as 1506060864 + 373262400 = 38808^2 + 19320^2 .

It is a super-2 number, since 2×1879323264² = 7063711861223227392, which contains 22 as substring.

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

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, 9539614 + ... + 9539810.

Almost surely, 2^1879323264 is an apocalyptic number.

1879323264 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 1879323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423297735).

1879323264 is an abundant number, since it is smaller than the sum of its proper divisors (4967272206).

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

1879323264 is a wasteful number, since it uses less digits than its factorization.

1879323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 222 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1879323264 is about 43351.1621989538. The cubic root of 1879323264 is about 1234.0530506487.

The spelling of 1879323264 in words is "one billion, eight hundred seventy-nine million, three hundred twenty-three thousand, two hundred sixty-four".