6418656000 has 1152 divisors, whose sum is σ = 27549849600. Its totient is φ = 1459814400.

The previous prime is 6418655987. The next prime is 6418656007. The reversal of 6418656000 is 6568146.

6418656000 is a `hidden beast` number, since 6 + 41 + 8 + 6 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6418656007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 279071989 + ... + 279072011.

It is an arithmetic number, because the mean of its divisors is an integer number (23914800).

Almost surely, 2^6418656000 is an apocalyptic number.

6418656000 is a gapful number since it is divisible by the number (60) 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 6418656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774924800).

6418656000 is an abundant number, since it is smaller than the sum of its proper divisors (21131193600).

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

6418656000 is a wasteful number, since it uses less digits than its factorization.

6418656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6418656000 is about 80116.5151513719. The cubic root of 6418656000 is about 1858.4378142217.

The spelling of 6418656000 in words is "six billion, four hundred eighteen million, six hundred fifty-six thousand".