6381123840 has 576 divisors, whose sum is σ = 27883430400. Its totient is φ = 1345683456.

The previous prime is 6381123829. The next prime is 6381123911. The reversal of 6381123840 is 483211836.

6381123840 is a `hidden beast` number, since 6 + 381 + 1 + 238 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6381123840² = 81437482922832691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6381123795 and 6381123804.

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, 3143946 + ... + 3145974.

Almost surely, 2^6381123840 is an apocalyptic number.

6381123840 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 6381123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941715200).

6381123840 is an abundant number, since it is smaller than the sum of its proper divisors (21502306560).

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

6381123840 is a wasteful number, since it uses less digits than its factorization.

6381123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6381123840 is about 79881.9368818759. The cubic root of 6381123840 is about 1854.8084156849.

The spelling of 6381123840 in words is "six billion, three hundred eighty-one million, one hundred twenty-three thousand, eight hundred forty".