6466112400000 has 768 divisors, whose sum is σ = 23499295948800. Its totient is φ = 1562227200000.

The previous prime is 6466112399947. The next prime is 6466112400037. The reversal of 6466112400000 is 42116646.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5055599361 + ... + 5055600639.

It is an arithmetic number, because the mean of its divisors is an integer number (30598041600).

Almost surely, 2^{6466112400000} is an apocalyptic number.

6466112400000 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 6466112400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11749647974400).

6466112400000 is an abundant number, since it is smaller than the sum of its proper divisors (17033183548800).

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

6466112400000 is a wasteful number, since it uses less digits than its factorization.

6466112400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 6466112400000 its reverse (42116646), we get a palindrome (6466154516646).

The spelling of 6466112400000 in words is "six trillion, four hundred sixty-six billion, one hundred twelve million, four hundred thousand".