648324768 has 192 divisors, whose sum is σ = 2140508160. Its totient is φ = 167242752.

The previous prime is 648324751. The next prime is 648324769. The reversal of 648324768 is 867423846.

It is a super-3 number, since 3×648324768³ (a number of 27 digits) contains 333 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (648324769) 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, 409803 + ... + 411381.

It is an arithmetic number, because the mean of its divisors is an integer number (11148480).

Almost surely, 2^648324768 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 648324768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070254080).

648324768 is an abundant number, since it is smaller than the sum of its proper divisors (1492183392).

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

648324768 is a wasteful number, since it uses less digits than its factorization.

648324768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1651 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 648324768 is about 25462.2223696204. Note that the first 3 decimals coincide. The cubic root of 648324768 is about 865.4942848632.

The spelling of 648324768 in words is "six hundred forty-eight million, three hundred twenty-four thousand, seven hundred sixty-eight".