6468392448 has 240 divisors, whose sum is σ = 21516718080. Its totient is φ = 1832398848.

The previous prime is 6468392387. The next prime is 6468392461. The reversal of 6468392448 is 8442938646.

It is a super-2 number, since 2×6468392448² = 83680201722686865408, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6468392394 and 6468392403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4095723 + ... + 4097301.

It is an arithmetic number, because the mean of its divisors is an integer number (89652992).

Almost surely, 2^6468392448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6468392448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10758359040).

6468392448 is an abundant number, since it is smaller than the sum of its proper divisors (15048325632).

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

6468392448 is a wasteful number, since it uses less digits than its factorization.

6468392448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1718 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 6468392448 is about 80426.3168869494. The cubic root of 6468392448 is about 1863.2256480157.

The spelling of 6468392448 in words is "six billion, four hundred sixty-eight million, three hundred ninety-two thousand, four hundred forty-eight".