6386408160 has 384 divisors, whose sum is σ = 23451918336. Its totient is φ = 1445283840.

The previous prime is 6386408129. The next prime is 6386408167. The reversal of 6386408160 is 618046836.

It is a happy number.

It is a super-2 number, since 2×6386408160² = 81572418372229171200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6386408167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5221309 + ... + 5222531.

It is an arithmetic number, because the mean of its divisors is an integer number (61072704).

Almost surely, 2^6386408160 is an apocalyptic number.

6386408160 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 6386408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11725959168).

6386408160 is an abundant number, since it is smaller than the sum of its proper divisors (17065510176).

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

6386408160 is a wasteful number, since it uses less digits than its factorization.

6386408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 6386408160 is about 79915.0058499654. The cubic root of 6386408160 is about 1855.3202741561.

The spelling of 6386408160 in words is "six billion, three hundred eighty-six million, four hundred eight thousand, one hundred sixty".