207661070190 has 256 divisors, whose sum is σ = 635638855680. Its totient is φ = 42268262400.

The previous prime is 207661070167. The next prime is 207661070203. The reversal of 207661070190 is 91070166702.

207661070190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×207661070190² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 74136790 + ... + 74139590.

It is an arithmetic number, because the mean of its divisors is an integer number (2482964280).

Almost surely, 2^207661070190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207661070190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317819427840).

207661070190 is an abundant number, since it is smaller than the sum of its proper divisors (427977785490).

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

207661070190 is a wasteful number, since it uses less digits than its factorization.

207661070190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947.

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 207661070190 in words is "two hundred seven billion, six hundred sixty-one million, seventy thousand, one hundred ninety".