648822873600 has 960 divisors, whose sum is σ = 2624801287680. Its totient is φ = 155669299200.

The previous prime is 648822873499. The next prime is 648822873607. The reversal of 648822873600 is 6378228846.

648822873600 is a `hidden beast` number, since 6 + 4 + 8 + 8 + 2 + 28 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×648822873600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648822873607) 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 95 ways as a sum of consecutive naturals, for example, 391563972 + ... + 391565628.

It is an arithmetic number, because the mean of its divisors is an integer number (2734168008).

Almost surely, 2^648822873600 is an apocalyptic number.

648822873600 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 648822873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312400643840).

648822873600 is an abundant number, since it is smaller than the sum of its proper divisors (1975978414080).

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

648822873600 is a wasteful number, since it uses less digits than its factorization.

648822873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 648822873600 in words is "six hundred forty-eight billion, eight hundred twenty-two million, eight hundred seventy-three thousand, six hundred".