6413760 has 168 divisors, whose sum is σ = 23536656. Its totient is φ = 1597440.

The previous prime is 6413741. The next prime is 6413779. The reversal of 6413760 is 673146.

It is an interprime number because it is at equal distance from previous prime (6413741) and next prime (6413779).

It is a super-2 number, since 2×6413760² = 82272634675200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48895 + ... + 49025.

Almost surely, 2^6413760 is an apocalyptic number.

6413760 is a gapful number since it is divisible by the number (60) 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 6413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11768328).

6413760 is an abundant number, since it is smaller than the sum of its proper divisors (17122896).

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

6413760 is a wasteful number, since it uses less digits than its factorization.

6413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6413760 is about 2532.5402267289. The cubic root of 6413760 is about 185.7965169793.

It can be divided in two parts, 64 and 13760, that added together give a cube (13824 = 24³).

The spelling of 6413760 in words is "six million, four hundred thirteen thousand, seven hundred sixty".