205413848640 has 3024 divisors, whose sum is σ = 1041561218880. Its totient is φ = 38041436160.

The previous prime is 205413848623. The next prime is 205413848641. The reversal of 205413848640 is 46848314502.

205413848640 is a `hidden beast` number, since 2 + 0 + 541 + 3 + 8 + 48 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is not an unprimeable number, because it can be changed into a prime (205413848641) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7083236146 + ... + 7083236174.

It is an arithmetic number, because the mean of its divisors is an integer number (344431620).

Almost surely, 2^205413848640 is an apocalyptic number.

205413848640 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 205413848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520780609440).

205413848640 is an abundant number, since it is smaller than the sum of its proper divisors (836147370240).

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

205413848640 is a wasteful number, since it uses less digits than its factorization.

205413848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 205413848640 in words is "two hundred five billion, four hundred thirteen million, eight hundred forty-eight thousand, six hundred forty".