5684564793600 has 1728 divisors, whose sum is σ = 26521635840000. Its totient is φ = 1181072793600.

The previous prime is 5684564793521. The next prime is 5684564793631. The reversal of 5684564793600 is 63974654865.

5684564793600 is a `hidden beast` number, since 5 + 6 + 8 + 4 + 564 + 7 + 9 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×5684564793600² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 651970041 + ... + 651978759.

Almost surely, 2^{5684564793600} is an apocalyptic number.

5684564793600 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 5684564793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260817920000).

5684564793600 is an abundant number, since it is smaller than the sum of its proper divisors (20837071046400).

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

5684564793600 is a wasteful number, since it uses less digits than its factorization.

5684564793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8786 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 5684564793600 in words is "five trillion, six hundred eighty-four billion, five hundred sixty-four million, seven hundred ninety-three thousand, six hundred".