270639145728 has 432 divisors, whose sum is σ = 948622116960. Its totient is φ = 75861467136.

The previous prime is 270639145723. The next prime is 270639145747. The reversal of 270639145728 is 827541936072.

It is a happy number.

270639145728 is a `hidden beast` number, since 2 + 7 + 0 + 63 + 9 + 1 + 4 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (270639145723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17942926 + ... + 17958002.

It is an arithmetic number, because the mean of its divisors is an integer number (2195884530).

It is a 1-persistent number, because it is pandigital, but 2⋅270639145728 = 541278291456 is not.

Almost surely, 2^270639145728 is an apocalyptic number.

270639145728 is a gapful number since it is divisible by the number (28) 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 270639145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474311058480).

270639145728 is an abundant number, since it is smaller than the sum of its proper divisors (677982971232).

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

270639145728 is a wasteful number, since it uses less digits than its factorization.

270639145728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15169 (or 15142 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 270639145728 in words is "two hundred seventy billion, six hundred thirty-nine million, one hundred forty-five thousand, seven hundred twenty-eight".