1836738478080 has 1088 divisors, whose sum is σ = 7243172202240. Its totient is φ = 443358904320.

The previous prime is 1836738477997. The next prime is 1836738478109. The reversal of 1836738478080 is 808748376381.

1836738478080 is a `hidden beast` number, since 1 + 83 + 6 + 7 + 3 + 8 + 478 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1836738477999 and 1836738478017.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7882997644 + ... + 7882997876.

Almost surely, 2^{1836738478080} is an apocalyptic number.

1836738478080 is a gapful number since it is divisible by the number (10) 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 1836738478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621586101120).

1836738478080 is an abundant number, since it is smaller than the sum of its proper divisors (5406433724160).

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

1836738478080 is an frugal number, since it uses more digits than its factorization.

1836738478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 1836738478080 in words is "one trillion, eight hundred thirty-six billion, seven hundred thirty-eight million, four hundred seventy-eight thousand, eighty".