6181568640 has 384 divisors, whose sum is σ = 23738158080. Its totient is φ = 1471979520.

The previous prime is 6181568633. The next prime is 6181568669. The reversal of 6181568640 is 468651816.

6181568640 is a `hidden beast` number, since 6 + 1 + 81 + 568 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2319949 + ... + 2322611.

It is an arithmetic number, because the mean of its divisors is an integer number (61818120).

Almost surely, 2^6181568640 is an apocalyptic number.

6181568640 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 6181568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11869079040).

6181568640 is an abundant number, since it is smaller than the sum of its proper divisors (17556589440).

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

6181568640 is a wasteful number, since it uses less digits than its factorization.

6181568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6181568640 is about 78622.9523739728. The cubic root of 6181568640 is about 1835.2683088377.

The spelling of 6181568640 in words is "six billion, one hundred eighty-one million, five hundred sixty-eight thousand, six hundred forty".