6466961311200 has 2304 divisors, whose sum is σ = 27861016780800. Its totient is φ = 1433272320000.

The previous prime is 6466961311199. The next prime is 6466961311201. The reversal of 6466961311200 is 21131696646.

6466961311200 is a `hidden beast` number, since 6 + 4 + 6 + 6 + 9 + 613 + 1 + 1 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6466961311199) and next prime (6466961311201).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6466961311201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10088862880 + ... + 10088863520.

It is an arithmetic number, because the mean of its divisors is an integer number (12092455200).

Almost surely, 2^{6466961311200} is an apocalyptic number.

6466961311200 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 6466961311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13930508390400).

6466961311200 is an abundant number, since it is smaller than the sum of its proper divisors (21394055469600).

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

6466961311200 is a wasteful number, since it uses less digits than its factorization.

6466961311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 6466961311200 in words is "six trillion, four hundred sixty-six billion, nine hundred sixty-one million, three hundred eleven thousand, two hundred".