5688603648000 has 5376 divisors, whose sum is σ = 29368611417600. Its totient is φ = 1070176665600.

The previous prime is 5688603647959. The next prime is 5688603648053. The reversal of 5688603648000 is 8463068865.

5688603648000 is a `hidden beast` number, since 56 + 8 + 86 + 0 + 36 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×5688603648000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 299400191991 + ... + 299400192009.

It is an arithmetic number, because the mean of its divisors is an integer number (5462911350).

Almost surely, 2^{5688603648000} is an apocalyptic number.

5688603648000 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 5688603648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14684305708800).

5688603648000 is an abundant number, since it is smaller than the sum of its proper divisors (23680007769600).

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

5688603648000 is a wasteful number, since it uses less digits than its factorization.

5688603648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 5688603648000 in words is "five trillion, six hundred eighty-eight billion, six hundred three million, six hundred forty-eight thousand".