1686427776000 has 2464 divisors, whose sum is σ = 7237483508736. Its totient is φ = 388177920000.

The previous prime is 1686427775983. The next prime is 1686427776001. The reversal of 1686427776000 is 6777246861.

1686427776000 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 4 + 27 + 7 + 7 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1686427776001) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 31819391974 + ... + 31819392026.

Almost surely, 2^{1686427776000} is an apocalyptic number.

1686427776000 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 1686427776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618741754368).

1686427776000 is an abundant number, since it is smaller than the sum of its proper divisors (5551055732736).

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

1686427776000 is an equidigital number, since it uses as much as digits as its factorization.

1686427776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 1686427776000 in words is "one trillion, six hundred eighty-six billion, four hundred twenty-seven million, seven hundred seventy-six thousand".