6646587900960 has 1152 divisors, whose sum is σ = 28081849824000. Its totient is φ = 1307845066752.

The previous prime is 6646587900929. The next prime is 6646587901027. The reversal of 6646587900960 is 690097856466.

It is a junction number, because it is equal to n+sod(n) for n = 6646587900891 and 6646587900900.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 220296756 + ... + 220326924.

It is an arithmetic number, because the mean of its divisors is an integer number (24376605750).

Almost surely, 2^{6646587900960} is an apocalyptic number.

6646587900960 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 6646587900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040924912000).

6646587900960 is an abundant number, since it is smaller than the sum of its proper divisors (21435261923040).

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

6646587900960 is a wasteful number, since it uses less digits than its factorization.

6646587900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30266 (or 30251 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 6646587900960 in words is "six trillion, six hundred forty-six billion, five hundred eighty-seven million, nine hundred thousand, nine hundred sixty".