6567920559648 has 480 divisors, whose sum is σ = 22211139734784. Its totient is φ = 1865051578368.

The previous prime is 6567920559611. The next prime is 6567920559661. The reversal of 6567920559648 is 8469550297656.

It is a happy number.

6567920559648 is a `hidden beast` number, since 6 + 5 + 6 + 7 + 9 + 2 + 0 + 559 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3073429236 + ... + 3073431372.

Almost surely, 2^{6567920559648} 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 6567920559648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11105569867392).

6567920559648 is an abundant number, since it is smaller than the sum of its proper divisors (15643219175136).

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

6567920559648 is a wasteful number, since it uses less digits than its factorization.

6567920559648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 6567920559648 in words is "six trillion, five hundred sixty-seven billion, nine hundred twenty million, five hundred fifty-nine thousand, six hundred forty-eight".