6532657078896 has 480 divisors, whose sum is σ = 20941172179200. Its totient is φ = 1884444549120.

The previous prime is 6532657078891. The next prime is 6532657078919. The reversal of 6532657078896 is 6988707562356.

It is a happy number.

6532657078896 is a `hidden beast` number, since 6 + 532 + 6 + 5 + 7 + 0 + 7 + 8 + 89 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6532657078891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5060152011 + ... + 5060153301.

It is an arithmetic number, because the mean of its divisors is an integer number (43627442040).

Almost surely, 2^{6532657078896} 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 6532657078896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10470586089600).

6532657078896 is an abundant number, since it is smaller than the sum of its proper divisors (14408515100304).

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

6532657078896 is a wasteful number, since it uses less digits than its factorization.

6532657078896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 6532657078896 in words is "six trillion, five hundred thirty-two billion, six hundred fifty-seven million, seventy-eight thousand, eight hundred ninety-six".