6541119360 has 640 divisors, whose sum is σ = 25547940000. Its totient is φ = 1588543488.

The previous prime is 6541119323. The next prime is 6541119373. The reversal of 6541119360 is 639111456.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 28563726 + ... + 28563954.

Almost surely, 2^6541119360 is an apocalyptic number.

6541119360 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 6541119360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12773970000).

6541119360 is an abundant number, since it is smaller than the sum of its proper divisors (19006820640).

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

6541119360 is a wasteful number, since it uses less digits than its factorization.

6541119360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 6541119360 is about 80877.1868946986. The cubic root of 6541119360 is about 1870.1826544301.

The spelling of 6541119360 in words is "six billion, five hundred forty-one million, one hundred nineteen thousand, three hundred sixty".