6541009920 has 528 divisors, whose sum is σ = 24729070080. Its totient is φ = 1592524800.

The previous prime is 6541009919. The next prime is 6541009927. The reversal of 6541009920 is 299001456.

6541009920 is a `hidden beast` number, since 6 + 541 + 0 + 0 + 99 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6541009927) 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, 27141000 + ... + 27141240.

It is an arithmetic number, because the mean of its divisors is an integer number (46835360).

Almost surely, 2^6541009920 is an apocalyptic number.

6541009920 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 6541009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364535040).

6541009920 is an abundant number, since it is smaller than the sum of its proper divisors (18188060160).

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

6541009920 is a wasteful number, since it uses less digits than its factorization.

6541009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 301 counting only the distinct ones).

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

The square root of 6541009920 is about 80876.5103104727. The cubic root of 6541009920 is about 1870.1722243125.

The spelling of 6541009920 in words is "six billion, five hundred forty-one million, nine thousand, nine hundred twenty".