270761508960768 has 600 divisors, whose sum is σ = 944551884792384. Its totient is φ = 76993672089600.

The previous prime is 270761508960697. The next prime is 270761508960791. The reversal of 270761508960768 is 867069805167072.

270761508960768 is a `hidden beast` number, since 2 + 7 + 0 + 7 + 6 + 1 + 5 + 0 + 8 + 9 + 607 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 270761508960696 and 270761508960705.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 428463273 + ... + 429094743.

Almost surely, 2^{270761508960768} is an apocalyptic number.

270761508960768 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 270761508960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472275942396192).

270761508960768 is an abundant number, since it is smaller than the sum of its proper divisors (673790375831616).

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

270761508960768 is an equidigital number, since it uses as much as digits as its factorization.

270761508960768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631726 (or 631694 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 270761508960768 in words is "two hundred seventy trillion, seven hundred sixty-one billion, five hundred eight million, nine hundred sixty thousand, seven hundred sixty-eight".