6442560652446 has 16 divisors (see below), whose sum is σ = 14316801450000. Its totient is φ = 2147520217464.

The previous prime is 6442560652337. The next prime is 6442560652469.

6442560652446 is a `hidden beast` number, since 6 + 4 + 4 + 2 + 5 + 606 + 5 + 24 + 4 + 6 = 666.

6442560652446 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 119306678749 = 6442560652446 / (6 + 4 + 4 + 2 + 5 + 6 + 0 + 6 + 5 + 2 + 4 + 4 + 6).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6442560652392 and 6442560652401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59653339321 + ... + 59653339428.

It is an arithmetic number, because the mean of its divisors is an integer number (894800090625).

Almost surely, 2^{6442560652446} is an apocalyptic number.

6442560652446 is an abundant number, since it is smaller than the sum of its proper divisors (7874240797554).

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

6442560652446 is a wasteful number, since it uses less digits than its factorization.

6442560652446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119306678760 (or 119306678754 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 6442560652446 in words is "six trillion, four hundred forty-two billion, five hundred sixty million, six hundred fifty-two thousand, four hundred forty-six".