200406752640 has 640 divisors, whose sum is σ = 740694762720. Its totient is φ = 51597803520.

The previous prime is 200406752629. The next prime is 200406752647. The reversal of 200406752640 is 46257604002.

200406752640 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 0 + 6 + 7 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 200406752595 and 200406752604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200406752647) 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 79 ways as a sum of consecutive naturals, for example, 312646720 + ... + 312647360.

Almost surely, 2^200406752640 is an apocalyptic number.

200406752640 is a gapful number since it is divisible by the number (20) 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 200406752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370347381360).

200406752640 is an abundant number, since it is smaller than the sum of its proper divisors (540288010080).

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

200406752640 is a wasteful number, since it uses less digits than its factorization.

200406752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 200406752640 in words is "two hundred billion, four hundred six million, seven hundred fifty-two thousand, six hundred forty".