6541273200 has 240 divisors, whose sum is σ = 26124685056. Its totient is φ = 1359206400.

The previous prime is 6541273199. The next prime is 6541273201. The reversal of 6541273200 is 23721456.

It is an interprime number because it is at equal distance from previous prime (6541273199) and next prime (6541273201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541273201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57004 + ... + 127796.

Almost surely, 2^6541273200 is an apocalyptic number.

6541273200 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 6541273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062342528).

6541273200 is an abundant number, since it is smaller than the sum of its proper divisors (19583411856).

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

6541273200 is a wasteful number, since it uses less digits than its factorization.

6541273200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70832 (or 70821 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 6541273200 is about 80878.1379607617. The cubic root of 6541273200 is about 1870.1973158679.

Adding to 6541273200 its reverse (23721456), we get a palindrome (6564994656).

The spelling of 6541273200 in words is "six billion, five hundred forty-one million, two hundred seventy-three thousand, two hundred".