204379260480 has 448 divisors, whose sum is σ = 775965692160. Its totient is φ = 50452070400.

The previous prime is 204379260479. The next prime is 204379260493. The reversal of 204379260480 is 84062973402.

204379260480 is a `hidden beast` number, since 2 + 0 + 4 + 37 + 9 + 2 + 604 + 8 + 0 = 666.

It is a super-2 number, since 2×204379260480² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8948275 + ... + 8971085.

Almost surely, 2^204379260480 is an apocalyptic number.

204379260480 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 204379260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387982846080).

204379260480 is an abundant number, since it is smaller than the sum of its proper divisors (571586431680).

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

204379260480 is a wasteful number, since it uses less digits than its factorization.

204379260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22915 (or 22899 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 204379260480 in words is "two hundred four billion, three hundred seventy-nine million, two hundred sixty thousand, four hundred eighty".