206705077740 has 672 divisors, whose sum is σ = 795503237760. Its totient is φ = 44019376128.

The previous prime is 206705077721. The next prime is 206705077753. The reversal of 206705077740 is 47770507602.

206705077740 is a `hidden beast` number, since 2 + 0 + 6 + 70 + 507 + 7 + 74 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 189116634 + ... + 189117726.

It is an arithmetic number, because the mean of its divisors is an integer number (1183784580).

Almost surely, 2^206705077740 is an apocalyptic number.

206705077740 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 206705077740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397751618880).

206705077740 is an abundant number, since it is smaller than the sum of its proper divisors (588798160020).

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

206705077740 is a wasteful number, since it uses less digits than its factorization.

206705077740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 206705077740 in words is "two hundred six billion, seven hundred five million, seventy-seven thousand, seven hundred forty".