5684935995648 has 3024 divisors, whose sum is σ = 23586515653680. Its totient is φ = 1348422598656.

The previous prime is 5684935995647. The next prime is 5684935995659. The reversal of 5684935995648 is 8465995394865.

5684935995648 is a `hidden beast` number, since 5 + 6 + 8 + 49 + 3 + 5 + 9 + 9 + 564 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21069103104 + 5663866892544 = 145152^2 + 2379888^2 .

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×5684935995648² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (5684935995647) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 58607587536 + ... + 58607587632.

It is an arithmetic number, because the mean of its divisors is an integer number (7799773695).

Almost surely, 2^{5684935995648} is an apocalyptic number.

5684935995648 is a gapful number since it is divisible by the number (58) 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 5684935995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793257826840).

5684935995648 is an abundant number, since it is smaller than the sum of its proper divisors (17901579658032).

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

5684935995648 is a wasteful number, since it uses less digits than its factorization.

5684935995648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 168 counting only the distinct ones).

The product of its digits is 10077696000, while the sum is 81.

The spelling of 5684935995648 in words is "five trillion, six hundred eighty-four billion, nine hundred thirty-five million, nine hundred ninety-five thousand, six hundred forty-eight".