207119009664 has 1024 divisors, whose sum is σ = 759075840000. Its totient is φ = 54344908800.

The previous prime is 207119009663. The next prime is 207119009723. The reversal of 207119009664 is 466900911702.

It is a super-2 number, since 2×207119009664² (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 (207119009663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2050683214 + ... + 2050683314.

It is an arithmetic number, because the mean of its divisors is an integer number (741285000).

Almost surely, 2^207119009664 is an apocalyptic number.

207119009664 is a gapful number since it is divisible by the number (24) 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 207119009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379537920000).

207119009664 is an abundant number, since it is smaller than the sum of its proper divisors (551956830336).

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

207119009664 is a wasteful number, since it uses less digits than its factorization.

207119009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 207119009664 in words is "two hundred seven billion, one hundred nineteen million, nine thousand, six hundred sixty-four".