6473908224 has 264 divisors, whose sum is σ = 21810375600. Its totient is φ = 1849688064.

The previous prime is 6473908211. The next prime is 6473908229. The reversal of 6473908224 is 4228093746.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×6473908224² = 83822975385549668352, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6473908224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6473908229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 924844029 + ... + 924844035.

Almost surely, 2^6473908224 is an apocalyptic number.

6473908224 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 6473908224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905187800).

6473908224 is an abundant number, since it is smaller than the sum of its proper divisors (15336467376).

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

6473908224 is an frugal number, since it uses more digits than its factorization.

6473908224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6473908224 is about 80460.6004451868. The cubic root of 6473908224 is about 1863.7551054545.

The spelling of 6473908224 in words is "six billion, four hundred seventy-three million, nine hundred eight thousand, two hundred twenty-four".