6460689060 has 192 divisors, whose sum is σ = 23012720640. Its totient is φ = 1474070400.

The previous prime is 6460688989. The next prime is 6460689077. The reversal of 6460689060 is 609860646.

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

It is a junction number, because it is equal to n+sod(n) for n = 6460688997 and 6460689015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2746885 + ... + 2749235.

It is an arithmetic number, because the mean of its divisors is an integer number (119857920).

Almost surely, 2^6460689060 is an apocalyptic number.

6460689060 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 6460689060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11506360320).

6460689060 is an abundant number, since it is smaller than the sum of its proper divisors (16552031580).

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

6460689060 is a wasteful number, since it uses less digits than its factorization.

6460689060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6460689060 is about 80378.4116538763. The cubic root of 6460689060 is about 1862.4856984923.

The spelling of 6460689060 in words is "six billion, four hundred sixty million, six hundred eighty-nine thousand, sixty".