6860510460 has 120 divisors (see below), whose sum is σ = 21553575120. Its totient is φ = 1826758656.

The previous prime is 6860510453. The next prime is 6860510471. The reversal of 6860510460 is 640150686.

6860510460 is a `hidden beast` number, since 6 + 8 + 605 + 1 + 0 + 46 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1243027 + ... + 1248533.

It is an arithmetic number, because the mean of its divisors is an integer number (179613126).

Almost surely, 2^6860510460 is an apocalyptic number.

6860510460 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 6860510460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10776787560).

6860510460 is an abundant number, since it is smaller than the sum of its proper divisors (14693064660).

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

6860510460 is a wasteful number, since it uses less digits than its factorization.

6860510460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6297 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6860510460 is about 82828.1984592204. The cubic root of 6860510460 is about 1900.1394597542.

The spelling of 6860510460 in words is "six billion, eight hundred sixty million, five hundred ten thousand, four hundred sixty".