6403815936000 has 3328 divisors, whose sum is σ = 29505842995200. Its totient is φ = 1354442342400.

The previous prime is 6403815935983. The next prime is 6403815936013. The reversal of 6403815936000 is 6395183046.

6403815936000 is a `hidden beast` number, since 6 + 4 + 0 + 38 + 1 + 5 + 9 + 3 + 600 + 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 255 ways as a sum of consecutive naturals, for example, 148925951979 + ... + 148925952021.

It is an arithmetic number, because the mean of its divisors is an integer number (8865938400).

Almost surely, 2^{6403815936000} is an apocalyptic number.

6403815936000 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 6403815936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752921497600).

6403815936000 is an abundant number, since it is smaller than the sum of its proper divisors (23102027059200).

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

6403815936000 is an frugal number, since it uses more digits than its factorization.

6403815936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 6403815936000 in words is "six trillion, four hundred three billion, eight hundred fifteen million, nine hundred thirty-six thousand".