648142385280 has 512 divisors, whose sum is σ = 2417574297600. Its totient is φ = 146266767360.

The previous prime is 648142385269. The next prime is 648142385281. The reversal of 648142385280 is 82583241846.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (648142385281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14679397 + ... + 14723483.

It is an arithmetic number, because the mean of its divisors is an integer number (4721824800).

Almost surely, 2^648142385280 is an apocalyptic number.

648142385280 is a gapful number since it is divisible by the number (60) 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 648142385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208787148800).

648142385280 is an abundant number, since it is smaller than the sum of its proper divisors (1769431912320).

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

648142385280 is a wasteful number, since it uses less digits than its factorization.

648142385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44172 (or 44160 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 648142385280 in words is "six hundred forty-eight billion, one hundred forty-two million, three hundred eighty-five thousand, two hundred eighty".