205380797483664 has 480 divisors, whose sum is σ = 689428128025728. Its totient is φ = 56364097536000.

The previous prime is 205380797483633. The next prime is 205380797483689. The reversal of 205380797483664 is 466384797083502.

205380797483664 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 80 + 7 + 9 + 7 + 483 + 6 + 64 = 666.

205380797483664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 205380797483592 and 205380797483601.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79321359 + ... + 81869649.

Almost surely, 2^{205380797483664} is an apocalyptic number.

205380797483664 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 205380797483664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344714064012864).

205380797483664 is an abundant number, since it is smaller than the sum of its proper divisors (484047330542064).

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

205380797483664 is a wasteful number, since it uses less digits than its factorization.

205380797483664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548447 (or 2548438 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 205380797483664 in words is "two hundred five trillion, three hundred eighty billion, seven hundred ninety-seven million, four hundred eighty-three thousand, six hundred sixty-four".