270919378080 has 1344 divisors, whose sum is σ = 1097370076320. Its totient is φ = 62705664000.

The previous prime is 270919378073. The next prime is 270919378091. The reversal of 270919378080 is 80873919072.

It can be written as a sum of positive squares in 16 ways, for example, as 4527136656 + 266392241424 = 67284^2 + 516132^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2682370030 + ... + 2682370130.

Almost surely, 2^270919378080 is an apocalyptic number.

270919378080 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 270919378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548685038160).

270919378080 is an abundant number, since it is smaller than the sum of its proper divisors (826450698240).

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

270919378080 is a wasteful number, since it uses less digits than its factorization.

270919378080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 270919378080 in words is "two hundred seventy billion, nine hundred nineteen million, three hundred seventy-eight thousand, eighty".