206407079202240 has 1344 divisors, whose sum is σ = 870873389568000. Its totient is φ = 45078888628224.

The previous prime is 206407079202239. The next prime is 206407079202391. The reversal of 206407079202240 is 42202970704602.

It is a happy number.

206407079202240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

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, 35289290836 + ... + 35289296684.

It is an arithmetic number, because the mean of its divisors is an integer number (647971272000).

Almost surely, 2^{206407079202240} is an apocalyptic number.

206407079202240 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 206407079202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435436694784000).

206407079202240 is an abundant number, since it is smaller than the sum of its proper divisors (664466310365760).

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

206407079202240 is a wasteful number, since it uses less digits than its factorization.

206407079202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7031 (or 6992 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 206407079202240 in words is "two hundred six trillion, four hundred seven billion, seventy-nine million, two hundred two thousand, two hundred forty".