1678696596864 has 448 divisors, whose sum is σ = 5765948893440. Its totient is φ = 476654865408.

The previous prime is 1678696596859. The next prime is 1678696596893. The reversal of 1678696596864 is 4686956968761.

1678696596864 is a `hidden beast` number, since 16 + 7 + 8 + 6 + 9 + 6 + 596 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 106461109 + ... + 106476875.

Almost surely, 2^{1678696596864} is an apocalyptic number.

1678696596864 is a gapful number since it is divisible by the number (14) 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 1678696596864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882974446720).

1678696596864 is an abundant number, since it is smaller than the sum of its proper divisors (4087252296576).

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

1678696596864 is an equidigital number, since it uses as much as digits as its factorization.

1678696596864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15969 (or 15942 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 81.

The spelling of 1678696596864 in words is "one trillion, six hundred seventy-eight billion, six hundred ninety-six million, five hundred ninety-six thousand, eight hundred sixty-four".