270216409320 has 1024 divisors, whose sum is σ = 1130443776000. Its totient is φ = 56435097600.

The previous prime is 270216409219. The next prime is 270216409357. The reversal of 270216409320 is 23904612072.

270216409320 is a `hidden beast` number, since 2 + 7 + 0 + 2 + 1 + 640 + 9 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 208338912 + ... + 208340208.

It is an arithmetic number, because the mean of its divisors is an integer number (1103949000).

Almost surely, 2^270216409320 is an apocalyptic number.

270216409320 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 270216409320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565221888000).

270216409320 is an abundant number, since it is smaller than the sum of its proper divisors (860227366680).

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

270216409320 is a wasteful number, since it uses less digits than its factorization.

270216409320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 270216409320 in words is "two hundred seventy billion, two hundred sixteen million, four hundred nine thousand, three hundred twenty".