6005760668400 has 60 divisors (see below), whose sum is σ = 19238453344952. Its totient is φ = 1601536177920.

The previous prime is 6005760668381. The next prime is 6005760668419. The reversal of 6005760668400 is 48660675006.

It is an interprime number because it is at equal distance from previous prime (6005760668381) and next prime (6005760668419).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×6005760668400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6005760668400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2502399079 + ... + 2502401478.

Almost surely, 2^{6005760668400} is an apocalyptic number.

6005760668400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005760668400 is an abundant number, since it is smaller than the sum of its proper divisors (13232692676552).

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

6005760668400 is a wasteful number, since it uses less digits than its factorization.

6005760668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004800578 (or 5004800567 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 6005760668400 in words is "six trillion, five billion, seven hundred sixty million, six hundred sixty-eight thousand, four hundred".