6105015840 has 384 divisors, whose sum is σ = 24472627200. Its totient is φ = 1268198400.

The previous prime is 6105015821. The next prime is 6105015841. The reversal of 6105015840 is 485105016.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6105015798 and 6105015807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105015841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1809355 + ... + 1812725.

It is an arithmetic number, because the mean of its divisors is an integer number (63730800).

Almost surely, 2^6105015840 is an apocalyptic number.

6105015840 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 6105015840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236313600).

6105015840 is an abundant number, since it is smaller than the sum of its proper divisors (18367611360).

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

6105015840 is a wasteful number, since it uses less digits than its factorization.

6105015840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 6105015840 is about 78134.6007860794. The cubic root of 6105015840 is about 1827.6608052836.

The spelling of 6105015840 in words is "six billion, one hundred five million, fifteen thousand, eight hundred forty".