6105677760 has 336 divisors, whose sum is σ = 25848478656. Its totient is φ = 1288175616.

The previous prime is 6105677749. The next prime is 6105677761. The reversal of 6105677760 is 677765016.

6105677760 is a `hidden beast` number, since 6 + 10 + 567 + 7 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105677761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250432 + ... + 273728.

It is an arithmetic number, because the mean of its divisors is an integer number (76929996).

Almost surely, 2^6105677760 is an apocalyptic number.

6105677760 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 6105677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12924239328).

6105677760 is an abundant number, since it is smaller than the sum of its proper divisors (19742800896).

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

6105677760 is a wasteful number, since it uses less digits than its factorization.

6105677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23340 (or 23327 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 6105677760 is about 78138.8364387390. The cubic root of 6105677760 is about 1827.7268559733.

It can be divided in two parts, 6105 and 677760, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 6105677760 in words is "six billion, one hundred five million, six hundred seventy-seven thousand, seven hundred sixty".