6338536000 has 56 divisors (see below), whose sum is σ = 15697404216. Its totient is φ = 2535411200.

The previous prime is 6338535997. The next prime is 6338536027. The reversal of 6338536000 is 6358336.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 70963776 + 6267572224 = 8424^2 + 79168^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388159 + ... + 404158.

Almost surely, 2^6338536000 is an apocalyptic number.

It is an amenable number.

6338536000 is an abundant number, since it is smaller than the sum of its proper divisors (9358868216).

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

6338536000 is an equidigital number, since it uses as much as digits as its factorization.

6338536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792344 (or 792324 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 6338536000 is about 79614.9232242298. The cubic root of 6338536000 is about 1850.6728499693.

The spelling of 6338536000 in words is "six billion, three hundred thirty-eight million, five hundred thirty-six thousand".