5687688384000 has 960 divisors, whose sum is σ = 23537085137280. Its totient is φ = 1293130137600.

The previous prime is 5687688383977. The next prime is 5687688384017. The reversal of 5687688384000 is 4838867865.

5687688384000 is a `hidden beast` number, since 56 + 8 + 76 + 88 + 38 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 778172346 + ... + 778179654.

It is an arithmetic number, because the mean of its divisors is an integer number (24517797018).

Almost surely, 2^{5687688384000} is an apocalyptic number.

5687688384000 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 5687688384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11768542568640).

5687688384000 is an abundant number, since it is smaller than the sum of its proper divisors (17849396753280).

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

5687688384000 is a wasteful number, since it uses less digits than its factorization.

5687688384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 5687688384000 in words is "five trillion, six hundred eighty-seven billion, six hundred eighty-eight million, three hundred eighty-four thousand".