6423963863040 has 1344 divisors, whose sum is σ = 24001933737600. Its totient is φ = 1648263168000.

The previous prime is 6423963863021. The next prime is 6423963863041. The reversal of 6423963863040 is 403683693246.

6423963863040 is a `hidden beast` number, since 6 + 423 + 96 + 38 + 63 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6423963863041) 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 111 ways as a sum of consecutive naturals, for example, 42542806965 + ... + 42542807115.

It is an arithmetic number, because the mean of its divisors is an integer number (17858581650).

Almost surely, 2^{6423963863040} is an apocalyptic number.

6423963863040 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 6423963863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12000966868800).

6423963863040 is an abundant number, since it is smaller than the sum of its proper divisors (17577969874560).

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

6423963863040 is a wasteful number, since it uses less digits than its factorization.

6423963863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 6423963863040 in words is "six trillion, four hundred twenty-three billion, nine hundred sixty-three million, eight hundred sixty-three thousand, forty".