1687368088800 has 432 divisors, whose sum is σ = 6533435864592. Its totient is φ = 423495475200.

The previous prime is 1687368088793. The next prime is 1687368088807. The reversal of 1687368088800 is 88808637861.

It is an interprime number because it is at equal distance from previous prime (1687368088793) and next prime (1687368088807).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1687368088800² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687368088807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3049510 + ... + 3560090.

It is an arithmetic number, because the mean of its divisors is an integer number (15123694131).

Almost surely, 2^{1687368088800} is an apocalyptic number.

1687368088800 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 1687368088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266717932296).

1687368088800 is an abundant number, since it is smaller than the sum of its proper divisors (4846067775792).

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

1687368088800 is a wasteful number, since it uses less digits than its factorization.

1687368088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510633 (or 510608 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 1687368088800 in words is "one trillion, six hundred eighty-seven billion, three hundred sixty-eight million, eighty-eight thousand, eight hundred".