1678834132800 has 672 divisors, whose sum is σ = 6375233863680. Its totient is φ = 382504550400.

The previous prime is 1678834132771. The next prime is 1678834132853. The reversal of 1678834132800 is 82314388761.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127399812 + ... + 127412988.

Almost surely, 2^{1678834132800} is an apocalyptic number.

1678834132800 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 1678834132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187616931840).

1678834132800 is an abundant number, since it is smaller than the sum of its proper divisors (4696399730880).

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

1678834132800 is a wasteful number, since it uses less digits than its factorization.

1678834132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13359 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 1678834132800 in words is "one trillion, six hundred seventy-eight billion, eight hundred thirty-four million, one hundred thirty-two thousand, eight hundred".