270359078400 has 720 divisors, whose sum is σ = 1062605207664. Its totient is φ = 67841556480.

The previous prime is 270359078333. The next prime is 270359078471. The reversal of 270359078400 is 4870953072.

270359078400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52874244 + ... + 52879356.

Almost surely, 2^270359078400 is an apocalyptic number.

270359078400 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 270359078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531302603832).

270359078400 is an abundant number, since it is smaller than the sum of its proper divisors (792246129264).

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

270359078400 is an equidigital number, since it uses as much as digits as its factorization.

270359078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5173 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 270359078400 in words is "two hundred seventy billion, three hundred fifty-nine million, seventy-eight thousand, four hundred".