6113906640 has 480 divisors, whose sum is σ = 22757829120. Its totient is φ = 1465122816.

The previous prime is 6113906609. The next prime is 6113906647. The reversal of 6113906640 is 466093116.

6113906640 is a `hidden beast` number, since 6 + 1 + 1 + 3 + 9 + 0 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6113906595 and 6113906604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6113906647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23789392 + ... + 23789648.

It is an arithmetic number, because the mean of its divisors is an integer number (47412144).

Almost surely, 2^6113906640 is an apocalyptic number.

6113906640 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 6113906640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11378914560).

6113906640 is an abundant number, since it is smaller than the sum of its proper divisors (16643922480).

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

6113906640 is a wasteful number, since it uses less digits than its factorization.

6113906640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6113906640 is about 78191.4742155435. The cubic root of 6113906640 is about 1828.5475889517.

Adding to 6113906640 its reverse (466093116), we get a palindrome (6579999756).

The spelling of 6113906640 in words is "six billion, one hundred thirteen million, nine hundred six thousand, six hundred forty".