646226449500240 has 720 divisors, whose sum is σ = 2542647143881728. Its totient is φ = 146654974642176.

The previous prime is 646226449500227. The next prime is 646226449500241. The reversal of 646226449500240 is 42005944622646.

646226449500240 is a `hidden beast` number, since 6 + 4 + 622 + 6 + 4 + 4 + 9 + 5 + 0 + 0 + 2 + 4 + 0 = 666.

646226449500240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646226449500241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2765517649 + ... + 2765751311.

Almost surely, 2^{646226449500240} is an apocalyptic number.

646226449500240 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 646226449500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271323571940864).

646226449500240 is an abundant number, since it is smaller than the sum of its proper divisors (1896420694381488).

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

646226449500240 is a wasteful number, since it uses less digits than its factorization.

646226449500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234256 (or 234240 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 646226449500240 in words is "six hundred forty-six trillion, two hundred twenty-six billion, four hundred forty-nine million, five hundred thousand, two hundred forty".