6040880640 has 640 divisors, whose sum is σ = 23387253120. Its totient is φ = 1472200704.

The previous prime is 6040880639. The next prime is 6040880687. The reversal of 6040880640 is 460880406.

6040880640 is a `hidden beast` number, since 6 + 0 + 4 + 0 + 8 + 8 + 0 + 640 = 666.

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 junction number, because it is equal to n+sod(n) for n = 6040880595 and 6040880604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62277072 + ... + 62277168.

It is an arithmetic number, because the mean of its divisors is an integer number (36542583).

Almost surely, 2^6040880640 is an apocalyptic number.

6040880640 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 6040880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11693626560).

6040880640 is an abundant number, since it is smaller than the sum of its proper divisors (17346372480).

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

6040880640 is a wasteful number, since it uses less digits than its factorization.

6040880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6040880640 is about 77723.1023570212. The cubic root of 6040880640 is about 1821.2382026251.

The spelling of 6040880640 in words is "six billion, forty million, eight hundred eighty thousand, six hundred forty".