6498123264 has 240 divisors, whose sum is σ = 20130430320. Its totient is φ = 2090188800.

The previous prime is 6498123239. The next prime is 6498123301. The reversal of 6498123264 is 4623218946.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3607164 + ... + 3608964.

It is an arithmetic number, because the mean of its divisors is an integer number (83876793).

Almost surely, 2^6498123264 is an apocalyptic number.

6498123264 is a gapful number since it is divisible by the number (64) 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 6498123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10065215160).

6498123264 is an abundant number, since it is smaller than the sum of its proper divisors (13632307056).

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

6498123264 is an equidigital number, since it uses as much as digits as its factorization.

6498123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1835 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 6498123264 is about 80610.9376201518. The cubic root of 6498123264 is about 1866.0759473229.

The spelling of 6498123264 in words is "six billion, four hundred ninety-eight million, one hundred twenty-three thousand, two hundred sixty-four".