6468925248 has 224 divisors, whose sum is σ = 19762744320. Its totient is φ = 2072770560.

The previous prime is 6468925201. The next prime is 6468925249. The reversal of 6468925248 is 8425298646.

6468925248 is a `hidden beast` number, since 6 + 468 + 92 + 52 + 48 = 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 = 6468925194 and 6468925203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468925249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10552590 + ... + 10553202.

Almost surely, 2^6468925248 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 6468925248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9881372160).

6468925248 is an abundant number, since it is smaller than the sum of its proper divisors (13293819072).

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

6468925248 is a wasteful number, since it uses less digits than its factorization.

6468925248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 846 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 6468925248 is about 80429.6291673659. The cubic root of 6468925248 is about 1863.2768044340.

The spelling of 6468925248 in words is "six billion, four hundred sixty-eight million, nine hundred twenty-five thousand, two hundred forty-eight".