6538060800 has 396 divisors, whose sum is σ = 24299462096. Its totient is φ = 1741824000.

The previous prime is 6538060783. The next prime is 6538060831. The reversal of 6538060800 is 80608356.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6220275 + ... + 6221325.

Almost surely, 2^6538060800 is an apocalyptic number.

6538060800 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 6538060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12149731048).

6538060800 is an abundant number, since it is smaller than the sum of its proper divisors (17761401296).

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

6538060800 is a wasteful number, since it uses less digits than its factorization.

6538060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1061 counting only the distinct ones).

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

The square root of 6538060800 is about 80858.2760142708. The cubic root of 6538060800 is about 1869.8911162736.

The spelling of 6538060800 in words is "six billion, five hundred thirty-eight million, sixty thousand, eight hundred".