204765906240 has 336 divisors, whose sum is σ = 847291086720. Its totient is φ = 44340203520.

The previous prime is 204765906229. The next prime is 204765906299. The reversal of 204765906240 is 42609567402.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115750 + ... + 650330.

Almost surely, 2^204765906240 is an apocalyptic number.

204765906240 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 204765906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423645543360).

204765906240 is an abundant number, since it is smaller than the sum of its proper divisors (642525180480).

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

204765906240 is a wasteful number, since it uses less digits than its factorization.

204765906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534630 (or 534617 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 204765906240 in words is "two hundred four billion, seven hundred sixty-five million, nine hundred six thousand, two hundred forty".