270047431680 has 1408 divisors, whose sum is σ = 1069654118400. Its totient is φ = 57415827456.

The previous prime is 270047431651. The next prime is 270047431681. The reversal of 270047431680 is 86134740072.

It is not an unprimeable number, because it can be changed into a prime (270047431681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3418321881 + ... + 3418321959.

Almost surely, 2^270047431680 is an apocalyptic number.

270047431680 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 270047431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534827059200).

270047431680 is an abundant number, since it is smaller than the sum of its proper divisors (799606686720).

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

270047431680 is a wasteful number, since it uses less digits than its factorization.

270047431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 270047431680 in words is "two hundred seventy billion, forty-seven million, four hundred thirty-one thousand, six hundred eighty".