270368800900 has 243 divisors, whose sum is σ = 672012309423. Its totient is φ = 94343356800.

The previous prime is 270368800859. The next prime is 270368800903. The reversal of 270368800900 is 9008863072.

The square root of 270368800900 is 519970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3716365444 + 266652435456 = 60962^2 + 516384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (270368800903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1658704219 + ... + 1658704381.

Almost surely, 2^270368800900 is an apocalyptic number.

270368800900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

270368800900 is the 519970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270368800900

270368800900 is an abundant number, since it is smaller than the sum of its proper divisors (401643508523).

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

270368800900 is a wasteful number, since it uses less digits than its factorization.

270368800900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 270368800900 in words is "two hundred seventy billion, three hundred sixty-eight million, eight hundred thousand, nine hundred".