6541072800 has 288 divisors, whose sum is σ = 21801104640. Its totient is φ = 1703116800.

The previous prime is 6541072763. The next prime is 6541072849. The reversal of 6541072800 is 82701456.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24136665 + ... + 24136935.

It is an arithmetic number, because the mean of its divisors is an integer number (75698280).

Almost surely, 2^6541072800 is an apocalyptic number.

6541072800 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 6541072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10900552320).

6541072800 is an abundant number, since it is smaller than the sum of its proper divisors (15260031840).

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

6541072800 is a wasteful number, since it uses less digits than its factorization.

6541072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 6541072800 is about 80876.8990503469. The cubic root of 6541072800 is about 1870.1782170697.

The spelling of 6541072800 in words is "six billion, five hundred forty-one million, seventy-two thousand, eight hundred".