1687731148800 has 864 divisors, whose sum is σ = 6511892587200. Its totient is φ = 416365608960.

The previous prime is 1687731148793. The next prime is 1687731148861. The reversal of 1687731148800 is 88411377861.

1687731148800 is a `hidden beast` number, since 1 + 6 + 87 + 73 + 11 + 488 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 376471359 + ... + 376475841.

Almost surely, 2^{1687731148800} is an apocalyptic number.

1687731148800 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 1687731148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255946293600).

1687731148800 is an abundant number, since it is smaller than the sum of its proper divisors (4824161438400).

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

1687731148800 is a wasteful number, since it uses less digits than its factorization.

1687731148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 1687731148800 in words is "one trillion, six hundred eighty-seven billion, seven hundred thirty-one million, one hundred forty-eight thousand, eight hundred".