6552406908896 has 288 divisors, whose sum is σ = 13990264051680. Its totient is φ = 3016560476160.

The previous prime is 6552406908877. The next prime is 6552406908923. The reversal of 6552406908896 is 6988096042556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18562059056 + ... + 18562059408.

It is an arithmetic number, because the mean of its divisors is an integer number (48577305735).

Almost surely, 2^{6552406908896} 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 6552406908896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995132025840).

6552406908896 is an abundant number, since it is smaller than the sum of its proper divisors (7437857142784).

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

6552406908896 is a wasteful number, since it uses less digits than its factorization.

6552406908896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 68.

The spelling of 6552406908896 in words is "six trillion, five hundred fifty-two billion, four hundred six million, nine hundred eight thousand, eight hundred ninety-six".