1836007464960 has 1792 divisors, whose sum is σ = 7473793536000. Its totient is φ = 425097953280.

The previous prime is 1836007464953. The next prime is 1836007464971. The reversal of 1836007464960 is 694647006381.

1836007464960 is a `hidden beast` number, since 1 + 83 + 6 + 0 + 0 + 74 + 6 + 496 + 0 = 666.

It is a super-2 number, since 2×1836007464960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1836007464897 and 1836007464906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14015324095 + ... + 14015324225.

Almost surely, 2^{1836007464960} is an apocalyptic number.

1836007464960 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 1836007464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736896768000).

1836007464960 is an abundant number, since it is smaller than the sum of its proper divisors (5637786071040).

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

1836007464960 is a wasteful number, since it uses less digits than its factorization.

1836007464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1836007464960 in words is "one trillion, eight hundred thirty-six billion, seven million, four hundred sixty-four thousand, nine hundred sixty".