6106314240 has 960 divisors, whose sum is σ = 25470244800. Its totient is φ = 1337720832.

The previous prime is 6106314223. The next prime is 6106314329. The reversal of 6106314240 is 424136016.

6106314240 is a `hidden beast` number, since 6 + 1 + 0 + 631 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165035502 + ... + 165035538.

It is an arithmetic number, because the mean of its divisors is an integer number (26531505).

Almost surely, 2^6106314240 is an apocalyptic number.

6106314240 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 6106314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12735122400).

6106314240 is an abundant number, since it is smaller than the sum of its proper divisors (19363930560).

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

6106314240 is a wasteful number, since it uses less digits than its factorization.

6106314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6106314240 is about 78142.9090832943. The cubic root of 6106314240 is about 1827.7903635922.

The spelling of 6106314240 in words is "six billion, one hundred six million, three hundred fourteen thousand, two hundred forty".