270268034400 has 720 divisors, whose sum is σ = 1213091044704. Its totient is φ = 57022341120.

The previous prime is 270268034383. The next prime is 270268034423. The reversal of 270268034400 is 4430862072.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5873884 + ... + 5919716.

Almost surely, 2^270268034400 is an apocalyptic number.

270268034400 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 270268034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606545522352).

270268034400 is an abundant number, since it is smaller than the sum of its proper divisors (942823010304).

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

270268034400 is a wasteful number, since it uses less digits than its factorization.

270268034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45885 (or 45863 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 270268034400 its reverse (4430862072), we get a palindrome (274698896472).

The spelling of 270268034400 in words is "two hundred seventy billion, two hundred sixty-eight million, thirty-four thousand, four hundred".