646242105600 has 3240 divisors, whose sum is σ = 3181516578240. Its totient is φ = 127919554560.

The previous prime is 646242105571. The next prime is 646242105623. The reversal of 646242105600 is 6501242646.

646242105600 is a `hidden beast` number, since 6 + 4 + 6 + 2 + 42 + 1 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6274195149 + ... + 6274195251.

Almost surely, 2^646242105600 is an apocalyptic number.

646242105600 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 646242105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590758289120).

646242105600 is an abundant number, since it is smaller than the sum of its proper divisors (2535274472640).

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

646242105600 is a wasteful number, since it uses less digits than its factorization.

646242105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 646242105600 in words is "six hundred forty-six billion, two hundred forty-two million, one hundred five thousand, six hundred".