205406400768 has 288 divisors, whose sum is σ = 572942684160. Its totient is φ = 65257021440.

The previous prime is 205406400739. The next prime is 205406400821. The reversal of 205406400768 is 867004604502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669076071 + ... + 669076377.

It is an arithmetic number, because the mean of its divisors is an integer number (1989384320).

Almost surely, 2^205406400768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205406400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286471342080).

205406400768 is an abundant number, since it is smaller than the sum of its proper divisors (367536283392).

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

205406400768 is a wasteful number, since it uses less digits than its factorization.

205406400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 205406400768 in words is "two hundred five billion, four hundred six million, four hundred thousand, seven hundred sixty-eight".