206664390313920 has 1344 divisors, whose sum is σ = 897018762931200. Its totient is φ = 42421914501120.

The previous prime is 206664390313883. The next prime is 206664390313963. The reversal of 206664390313920 is 29313093466602.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×206664390313920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24848425602 + ... + 24848433918.

It is an arithmetic number, because the mean of its divisors is an integer number (667424674800).

Almost surely, 2^{206664390313920} is an apocalyptic number.

206664390313920 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 206664390313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448509381465600).

206664390313920 is an abundant number, since it is smaller than the sum of its proper divisors (690354372617280).

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

206664390313920 is a wasteful number, since it uses less digits than its factorization.

206664390313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706 (or 9693 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 206664390313920 in words is "two hundred six trillion, six hundred sixty-four billion, three hundred ninety million, three hundred thirteen thousand, nine hundred twenty".