1827696466368 has 84 divisors (see below), whose sum is σ = 5407754292928. Its totient is φ = 589579499520.

The previous prime is 1827696466327. The next prime is 1827696466429. The reversal of 1827696466368 is 8636646967281.

1827696466368 is a `hidden beast` number, since 1 + 8 + 2 + 76 + 96 + 466 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×1827696466368² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1827696466296 and 1827696466305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51160921 + ... + 51196632.

Almost surely, 2^{1827696466368} is an apocalyptic number.

1827696466368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1827696466368 is an abundant number, since it is smaller than the sum of its proper divisors (3580057826560).

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

1827696466368 is a wasteful number, since it uses less digits than its factorization.

1827696466368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102357602 (or 102357589 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 1827696466368 in words is "one trillion, eight hundred twenty-seven billion, six hundred ninety-six million, four hundred sixty-six thousand, three hundred sixty-eight".