6466141785600 has 3840 divisors, whose sum is σ = 29986595020800. Its totient is φ = 1333261762560.

The previous prime is 6466141785541. The next prime is 6466141785679. The reversal of 6466141785600 is 65871416646.

6466141785600 is a `hidden beast` number, since 6 + 4 + 6 + 6 + 1 + 4 + 1 + 78 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 122002675174 + ... + 122002675226.

It is an arithmetic number, because the mean of its divisors is an integer number (7809009120).

Almost surely, 2^{6466141785600} is an apocalyptic number.

6466141785600 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 6466141785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14993297510400).

6466141785600 is an abundant number, since it is smaller than the sum of its proper divisors (23520453235200).

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

6466141785600 is a wasteful number, since it uses less digits than its factorization.

6466141785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6466141785600 in words is "six trillion, four hundred sixty-six billion, one hundred forty-one million, seven hundred eighty-five thousand, six hundred".