5687779684800 has 336 divisors, whose sum is σ = 18907325964800. Its totient is φ = 1496713420800.

The previous prime is 5687779684777. The next prime is 5687779684859. The reversal of 5687779684800 is 84869777865.

It is a Harshad number since it is a multiple of its sum of digits (75).

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 47 ways as a sum of consecutive naturals, for example, 1008289980 + ... + 1008295620.

Almost surely, 2^{5687779684800} is an apocalyptic number.

5687779684800 is a gapful number since it is divisible by the number (50) 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 5687779684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9453662982400).

5687779684800 is an abundant number, since it is smaller than the sum of its proper divisors (13219546280000).

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

5687779684800 is a wasteful number, since it uses less digits than its factorization.

5687779684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404 (or 8389 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 75.

The spelling of 5687779684800 in words is "five trillion, six hundred eighty-seven billion, seven hundred seventy-nine million, six hundred eighty-four thousand, eight hundred".