207666085440 has 672 divisors, whose sum is σ = 745549822080. Its totient is φ = 48920002560.

The previous prime is 207666085397. The next prime is 207666085447. The reversal of 207666085440 is 44580666702.

207666085440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 207666085440.

It is not an unprimeable number, because it can be changed into a prime (207666085447) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1075989984 + ... + 1075990176.

It is an arithmetic number, because the mean of its divisors is an integer number (1109449140).

Almost surely, 2^207666085440 is an apocalyptic number.

207666085440 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 207666085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372774911040).

207666085440 is an abundant number, since it is smaller than the sum of its proper divisors (537883736640).

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

207666085440 is a wasteful number, since it uses less digits than its factorization.

207666085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 207666085440 in words is "two hundred seven billion, six hundred sixty-six million, eighty-five thousand, four hundred forty".