6105415680 has 810 divisors, whose sum is σ = 26659821006. Its totient is φ = 1288175616.

The previous prime is 6105415661. The next prime is 6105415691. The reversal of 6105415680 is 865145016.

6105415680 is a `hidden beast` number, since 61 + 0 + 541 + 56 + 8 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28901376 + 6076514304 = 5376^2 + 77952^2 .

It is a super-2 number, since 2×6105415680² = 74552201251179724800, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 469647354 + ... + 469647366.

Almost surely, 2^6105415680 is an apocalyptic number.

6105415680 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 6105415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329910503).

6105415680 is an abundant number, since it is smaller than the sum of its proper divisors (20554405326).

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

6105415680 is a wasteful number, since it uses less digits than its factorization.

6105415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 6105415680 is about 78137.1594057527. The cubic root of 6105415680 is about 1827.7007044945.

The spelling of 6105415680 in words is "six billion, one hundred five million, four hundred fifteen thousand, six hundred eighty".