648121824 has 264 divisors, whose sum is σ = 2232039600. Its totient is φ = 185177664.

The previous prime is 648121819. The next prime is 648121829. The reversal of 648121824 is 428121846.

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.

648121824 is a `hidden beast` number, since 648 + 1 + 2 + 1 + 8 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (648121819) and next prime (648121829).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (24576) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648121829) by changing a digit.

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 43 ways as a sum of consecutive naturals, for example, 92588829 + ... + 92588835.

Almost surely, 2^648121824 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 648121824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116019800).

648121824 is an abundant number, since it is smaller than the sum of its proper divisors (1583917776).

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

648121824 is an frugal number, since it uses more digits than its factorization.

648121824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 12 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 648121824 is about 25458.2368596099. The cubic root of 648121824 is about 865.4039673703.

The spelling of 648121824 in words is "six hundred forty-eight million, one hundred twenty-one thousand, eight hundred twenty-four".