6488490960 has 640 divisors, whose sum is σ = 26817331200. Its totient is φ = 1410877440.

The previous prime is 6488490919. The next prime is 6488490979. The reversal of 6488490960 is 690948846.

6488490960 is a `hidden beast` number, since 64 + 8 + 8 + 490 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6488490897 and 6488490906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51090417 + ... + 51090543.

It is an arithmetic number, because the mean of its divisors is an integer number (41902080).

Almost surely, 2^6488490960 is an apocalyptic number.

6488490960 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 6488490960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408665600).

6488490960 is an abundant number, since it is smaller than the sum of its proper divisors (20328840240).

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

6488490960 is a wasteful number, since it uses less digits than its factorization.

6488490960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 6488490960 is about 80551.1698239076. The cubic root of 6488490960 is about 1865.1534502274.

The spelling of 6488490960 in words is "six billion, four hundred eighty-eight million, four hundred ninety thousand, nine hundred sixty".