6466277217680 has 320 divisors, whose sum is σ = 17695315427328. Its totient is φ = 2151366635520.

The previous prime is 6466277217643. The next prime is 6466277217761. The reversal of 6466277217680 is 867127726646.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6083044829 + ... + 6083045891.

Almost surely, 2^{6466277217680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6466277217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847657713664).

6466277217680 is an abundant number, since it is smaller than the sum of its proper divisors (11229038209648).

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

6466277217680 is a wasteful number, since it uses less digits than its factorization.

6466277217680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 62.

The spelling of 6466277217680 in words is "six trillion, four hundred sixty-six billion, two hundred seventy-seven million, two hundred seventeen thousand, six hundred eighty".