207968606010 has 288 divisors, whose sum is σ = 623635084800. Its totient is φ = 47985696000.

The previous prime is 207968605981. The next prime is 207968606011. The reversal of 207968606010 is 10606869702.

207968606010 is a `hidden beast` number, since 20 + 7 + 9 + 6 + 8 + 606 + 0 + 10 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (207968606011) 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, 20587941 + ... + 20598039.

It is an arithmetic number, because the mean of its divisors is an integer number (2165399600).

Almost surely, 2^207968606010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207968606010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311817542400).

207968606010 is an abundant number, since it is smaller than the sum of its proper divisors (415666478790).

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

207968606010 is a wasteful number, since it uses less digits than its factorization.

207968606010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10226 (or 10212 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 2079 and 68606010, that added together give a square (68608089 = 8283²).

The spelling of 207968606010 in words is "two hundred seven billion, nine hundred sixty-eight million, six hundred six thousand, ten".