648212241600 has 672 divisors, whose sum is σ = 2946060249600. Its totient is φ = 134692761600.

The previous prime is 648212241571. The next prime is 648212241623. The reversal of 648212241600 is 6142212846.

648212241600 is a `hidden beast` number, since 6 + 4 + 8 + 2 + 1 + 2 + 2 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×648212241600² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3228966 + ... + 3423834.

Almost surely, 2^648212241600 is an apocalyptic number.

648212241600 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 648212241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473030124800).

648212241600 is an abundant number, since it is smaller than the sum of its proper divisors (2297848008000).

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

648212241600 is a wasteful number, since it uses less digits than its factorization.

648212241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194918 (or 194897 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 648212241600 in words is "six hundred forty-eight billion, two hundred twelve million, two hundred forty-one thousand, six hundred".