205729467840 has 448 divisors, whose sum is σ = 798246328320. Its totient is φ = 49562357760.

The previous prime is 205729467773. The next prime is 205729467863. The reversal of 205729467840 is 48764927502.

205729467840 is a `hidden beast` number, since 2 + 0 + 572 + 9 + 4 + 67 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×205729467840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5259555 + ... + 5298525.

It is an arithmetic number, because the mean of its divisors is an integer number (1781799840).

Almost surely, 2^205729467840 is an apocalyptic number.

205729467840 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 205729467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399123164160).

205729467840 is an abundant number, since it is smaller than the sum of its proper divisors (592516860480).

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

205729467840 is a wasteful number, since it uses less digits than its factorization.

205729467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39057 (or 39041 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 205729467840 in words is "two hundred five billion, seven hundred twenty-nine million, four hundred sixty-seven thousand, eight hundred forty".