6400386720000 has 3240 divisors, whose sum is σ = 29911493708096. Its totient is φ = 1330255872000.

The previous prime is 6400386719981. The next prime is 6400386720043. The reversal of 6400386720000 is 276830046.

6400386720000 is a `hidden beast` number, since 640 + 0 + 3 + 8 + 6 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 95528159967 + ... + 95528160033.

Almost surely, 2^{6400386720000} is an apocalyptic number.

6400386720000 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 6400386720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955746854048).

6400386720000 is an abundant number, since it is smaller than the sum of its proper divisors (23511106988096).

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

6400386720000 is an frugal number, since it uses more digits than its factorization.

6400386720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 6400386720000 in words is "six trillion, four hundred billion, three hundred eighty-six million, seven hundred twenty thousand".