6538341600 has 576 divisors, whose sum is σ = 27403246080. Its totient is φ = 1473638400.

The previous prime is 6538341599. The next prime is 6538341613. The reversal of 6538341600 is 61438356.

6538341600 is a `hidden beast` number, since 6 + 5 + 3 + 8 + 3 + 41 + 600 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12549340 + ... + 12549860.

It is an arithmetic number, because the mean of its divisors is an integer number (47575080).

Almost surely, 2^6538341600 is an apocalyptic number.

6538341600 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 6538341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13701623040).

6538341600 is an abundant number, since it is smaller than the sum of its proper divisors (20864904480).

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

6538341600 is a wasteful number, since it uses less digits than its factorization.

6538341600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6538341600 is about 80860.0123670532. The cubic root of 6538341600 is about 1869.9178855723.

Adding to 6538341600 its reverse (61438356), we get a palindrome (6599779956).

The spelling of 6538341600 in words is "six billion, five hundred thirty-eight million, three hundred forty-one thousand, six hundred".