205291376640 has 1248 divisors, whose sum is σ = 865548343296. Its totient is φ = 45705461760.

The previous prime is 205291376629. The next prime is 205291376651. The reversal of 205291376640 is 46673192502.

205291376640 is a `hidden beast` number, since 2 + 0 + 529 + 13 + 76 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (205291376629) and next prime (205291376651).

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 95 ways as a sum of consecutive naturals, for example, 2473390039 + ... + 2473390121.

It is an arithmetic number, because the mean of its divisors is an integer number (693548352).

Almost surely, 2^205291376640 is an apocalyptic number.

205291376640 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 205291376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432774171648).

205291376640 is an abundant number, since it is smaller than the sum of its proper divisors (660256966656).

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

205291376640 is an frugal number, since it uses more digits than its factorization.

205291376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 205291376640 in words is "two hundred five billion, two hundred ninety-one million, three hundred seventy-six thousand, six hundred forty".