648180218010 has 128 divisors (see below), whose sum is σ = 1745247409920. Its totient is φ = 153022003200.

The previous prime is 648180217991. The next prime is 648180218041. The reversal of 648180218010 is 10812081846.

648180218010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×648180218010² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 648180218010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 599880 + ... + 1286940.

It is an arithmetic number, because the mean of its divisors is an integer number (13634745390).

Almost surely, 2^648180218010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648180218010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872623704960).

648180218010 is an abundant number, since it is smaller than the sum of its proper divisors (1097067191910).

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

648180218010 is a wasteful number, since it uses less digits than its factorization.

648180218010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687184.

The product of its (nonzero) digits is 24576, while the sum is 39.

Adding to 648180218010 its reverse (10812081846), we get a palindrome (658992299856).

The spelling of 648180218010 in words is "six hundred forty-eight billion, one hundred eighty million, two hundred eighteen thousand, ten".