6542355456 has 528 divisors, whose sum is σ = 24141499200. Its totient is φ = 1659764736.

The previous prime is 6542355437. The next prime is 6542355461. The reversal of 6542355456 is 6545532456.

6542355456 is a `hidden beast` number, since 6 + 5 + 42 + 3 + 554 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24320890 + ... + 24321158.

Almost surely, 2^6542355456 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 6542355456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070749600).

6542355456 is an abundant number, since it is smaller than the sum of its proper divisors (17599143744).

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

6542355456 is a wasteful number, since it uses less digits than its factorization.

6542355456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 323 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

The square root of 6542355456 is about 80884.8283425266. The cubic root of 6542355456 is about 1870.3004517860.

The spelling of 6542355456 in words is "six billion, five hundred forty-two million, three hundred fifty-five thousand, four hundred fifty-six".