6541674048 has 560 divisors, whose sum is σ = 24439676800. Its totient is φ = 1719180288.

The previous prime is 6541674031. The next prime is 6541674059. The reversal of 6541674048 is 8404761456.

6541674048 is a `hidden beast` number, since 6 + 541 + 67 + 4 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6541673994 and 6541674012.

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, 23115315 + ... + 23115597.

It is an arithmetic number, because the mean of its divisors is an integer number (43642280).

Almost surely, 2^6541674048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6541674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12219838400).

6541674048 is an abundant number, since it is smaller than the sum of its proper divisors (17898002752).

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

6541674048 is a wasteful number, since it uses less digits than its factorization.

6541674048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 6541674048 is about 80880.6160213929. The cubic root of 6541674048 is about 1870.2355168683.

The spelling of 6541674048 in words is "six billion, five hundred forty-one million, six hundred seventy-four thousand, forty-eight".