4200564643650 has 144 divisors (see below), whose sum is σ = 11430683746560. Its totient is φ = 1105747718400.

The previous prime is 4200564643621. The next prime is 4200564643687. The reversal of 4200564643650 is 563464650024.

It is a happy number.

4200564643650 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 564 + 6 + 4 + 36 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 4200564643596 and 4200564643605.

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 71 ways as a sum of consecutive naturals, for example, 248237190 + ... + 248254110.

It is an arithmetic number, because the mean of its divisors is an integer number (79379748240).

Almost surely, 2^{4200564643650} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200564643650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715341873280).

4200564643650 is an abundant number, since it is smaller than the sum of its proper divisors (7230119102910).

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

4200564643650 is a wasteful number, since it uses less digits than its factorization.

4200564643650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24001 (or 23993 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 4200564643650 in words is "four trillion, two hundred billion, five hundred sixty-four million, six hundred forty-three thousand, six hundred fifty".