5602640503680 has 864 divisors, whose sum is σ = 22084067252520. Its totient is φ = 1358092707840.

The previous prime is 5602640503651. The next prime is 5602640503687. The reversal of 5602640503680 is 863050462065.

5602640503680 is a `hidden beast` number, since 5 + 6 + 0 + 2 + 64 + 0 + 503 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×5602640503680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5602640503687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 508078327 + ... + 508089353.

Almost surely, 2^{5602640503680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5602640503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11042033626260).

5602640503680 is an abundant number, since it is smaller than the sum of its proper divisors (16481426748840).

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

5602640503680 is an equidigital number, since it uses as much as digits as its factorization.

5602640503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11092 (or 11048 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 5602640503680 in words is "five trillion, six hundred two billion, six hundred forty million, five hundred three thousand, six hundred eighty".