200657907072 has 864 divisors, whose sum is σ = 725011265160. Its totient is φ = 55076474880.

The previous prime is 200657907061. The next prime is 200657907077. The reversal of 200657907072 is 270709756002.

200657907072 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 579 + 0 + 7 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×200657907072² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200657907077) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1464656188 + ... + 1464656324.

Almost surely, 2^200657907072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200657907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362505632580).

200657907072 is an abundant number, since it is smaller than the sum of its proper divisors (524353358088).

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

200657907072 is an equidigital number, since it uses as much as digits as its factorization.

200657907072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 200657907072 in words is "two hundred billion, six hundred fifty-seven million, nine hundred seven thousand, seventy-two".