204272640000 has 1680 divisors, whose sum is σ = 894225556224. Its totient is φ = 44236800000.

The previous prime is 204272639941. The next prime is 204272640017. The reversal of 204272640000 is 46272402.

It is a happy number.

It is a super-2 number, since 2×204272640000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6589439985 + ... + 6589440015.

Almost surely, 2^204272640000 is an apocalyptic number.

204272640000 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 204272640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447112778112).

204272640000 is an abundant number, since it is smaller than the sum of its proper divisors (689952916224).

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

204272640000 is a wasteful number, since it uses less digits than its factorization.

204272640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 204272640000 in words is "two hundred four billion, two hundred seventy-two million, six hundred forty thousand".