270464421427200 has 9216 divisors, whose sum is σ = 1432612306944000. Its totient is φ = 48759924326400.

The previous prime is 270464421427171. The next prime is 270464421427223. The reversal of 270464421427200 is 2724124464072.

270464421427200 is a `hidden beast` number, since 2 + 7 + 0 + 46 + 442 + 142 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

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 767 ways as a sum of consecutive naturals, for example, 2129641113537 + ... + 2129641113663.

It is an arithmetic number, because the mean of its divisors is an integer number (155448384000).

Almost surely, 2^{270464421427200} is an apocalyptic number.

270464421427200 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 270464421427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716306153472000).

270464421427200 is an abundant number, since it is smaller than the sum of its proper divisors (1162147885516800).

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

270464421427200 is a wasteful number, since it uses less digits than its factorization.

270464421427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 270464421427200 in words is "two hundred seventy trillion, four hundred sixty-four billion, four hundred twenty-one million, four hundred twenty-seven thousand, two hundred".