6355552896 has 640 divisors, whose sum is σ = 24881472000. Its totient is φ = 1560176640.

The previous prime is 6355552849. The next prime is 6355552897. The reversal of 6355552896 is 6982555536.

6355552896 is a `hidden beast` number, since 6 + 3 + 5 + 5 + 552 + 89 + 6 = 666.

It is a super-2 number, since 2×6355552896² = 80786105227707973632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6355552897) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 15168175 + ... + 15168593.

It is an arithmetic number, because the mean of its divisors is an integer number (38877300).

Almost surely, 2^6355552896 is an apocalyptic number.

6355552896 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6355552896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440736000).

6355552896 is an abundant number, since it is smaller than the sum of its proper divisors (18525919104).

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

6355552896 is a wasteful number, since it uses less digits than its factorization.

6355552896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 461 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The square root of 6355552896 is about 79721.7216071003. The cubic root of 6355552896 is about 1852.3275205345.

The spelling of 6355552896 in words is "six billion, three hundred fifty-five million, five hundred fifty-two thousand, eight hundred ninety-six".