6488034960 has 160 divisors (see below), whose sum is σ = 21969843840. Its totient is φ = 1570816000.

The previous prime is 6488034913. The next prime is 6488034979. The reversal of 6488034960 is 694308846.

It is a super-3 number, since 3×6488034960³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3433696 + ... + 3435584.

It is an arithmetic number, because the mean of its divisors is an integer number (137311524).

Almost surely, 2^6488034960 is an apocalyptic number.

6488034960 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 6488034960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10984921920).

6488034960 is an abundant number, since it is smaller than the sum of its proper divisors (15481808880).

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

6488034960 is a wasteful number, since it uses less digits than its factorization.

6488034960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 6488034960 is about 80548.3392752451. The cubic root of 6488034960 is about 1865.1097559435.

The spelling of 6488034960 in words is "six billion, four hundred eighty-eight million, thirty-four thousand, nine hundred sixty".