6466046146560 has 6912 divisors, whose sum is σ = 35235880243200. Its totient is φ = 1070176665600.

The previous prime is 6466046146531. The next prime is 6466046146583. The reversal of 6466046146560 is 656416406646.

6466046146560 is a `hidden beast` number, since 6 + 4 + 6 + 60 + 4 + 6 + 14 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6466046146497 and 6466046146506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 208582133745 + ... + 208582133775.

It is an arithmetic number, because the mean of its divisors is an integer number (5097783600).

Almost surely, 2^{6466046146560} is an apocalyptic number.

6466046146560 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 6466046146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17617940121600).

6466046146560 is an abundant number, since it is smaller than the sum of its proper divisors (28769834096640).

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

6466046146560 is a wasteful number, since it uses less digits than its factorization.

6466046146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 6466046146560 in words is "six trillion, four hundred sixty-six billion, forty-six million, one hundred forty-six thousand, five hundred sixty".