6381175680 has 512 divisors, whose sum is σ = 25116480000. Its totient is φ = 1518059520.

The previous prime is 6381175663. The next prime is 6381175693. The reversal of 6381175680 is 865711836.

6381175680 is a `hidden beast` number, since 6 + 3 + 81 + 1 + 7 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11214436 + ... + 11215004.

It is an arithmetic number, because the mean of its divisors is an integer number (49055625).

Almost surely, 2^6381175680 is an apocalyptic number.

6381175680 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 6381175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558240000).

6381175680 is an abundant number, since it is smaller than the sum of its proper divisors (18735304320).

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

6381175680 is a wasteful number, since it uses less digits than its factorization.

6381175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 6381175680 is about 79882.2613600792. The cubic root of 6381175680 is about 1854.8134384682.

It can be divided in two parts, 63811756 and 80, that added together give a palindrome (63811836).

The spelling of 6381175680 in words is "six billion, three hundred eighty-one million, one hundred seventy-five thousand, six hundred eighty".