1836129768 has 128 divisors (see below), whose sum is σ = 5139849600. Its totient is φ = 541900800.

The previous prime is 1836129739. The next prime is 1836129797. The reversal of 1836129768 is 8679216381.

It is an interprime number because it is at equal distance from previous prime (1836129739) and next prime (1836129797).

It is a self number, because there is not a number n which added to its sum of digits gives 1836129768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819248 + ... + 1820256.

It is an arithmetic number, because the mean of its divisors is an integer number (40155075).

Almost surely, 2^1836129768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1836129768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569924800).

1836129768 is an abundant number, since it is smaller than the sum of its proper divisors (3303719832).

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

1836129768 is a wasteful number, since it uses less digits than its factorization.

1836129768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1199 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 1836129768 is about 42850.0848073840. The cubic root of 1836129768 is about 1224.5253789271.

The spelling of 1836129768 in words is "one billion, eight hundred thirty-six million, one hundred twenty-nine thousand, seven hundred sixty-eight".