6168006313380 has 72 divisors (see below), whose sum is σ = 18713194593912. Its totient is φ = 1644487358976.

The previous prime is 6168006313373. The next prime is 6168006313387. The reversal of 6168006313380 is 833136008616.

6168006313380 is a `hidden beast` number, since 6 + 1 + 6 + 8 + 0 + 0 + 631 + 3 + 3 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6168006313373) and next prime (6168006313387).

It can be written as a sum of positive squares in 4 ways, for example, as 1915411712256 + 4252594601124 = 1383984^2 + 2062182^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6168006313387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2328937 + ... + 4214256.

It is an arithmetic number, because the mean of its divisors is an integer number (259905480471).

Almost surely, 2^{6168006313380} is an apocalyptic number.

6168006313380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6168006313380 is an abundant number, since it is smaller than the sum of its proper divisors (12545188280532).

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

6168006313380 is a wasteful number, since it uses less digits than its factorization.

6168006313380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6548445 (or 6548440 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 6168006313380 in words is "six trillion, one hundred sixty-eight billion, six million, three hundred thirteen thousand, three hundred eighty".