270964800720 has 160 divisors (see below), whose sum is σ = 933668812800. Its totient is φ = 72230524416.

The previous prime is 270964800703. The next prime is 270964800731. The reversal of 270964800720 is 27008469072.

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 31 ways as a sum of consecutive naturals, for example, 6196854 + ... + 6240426.

It is an arithmetic number, because the mean of its divisors is an integer number (5835430080).

Almost surely, 2^270964800720 is an apocalyptic number.

270964800720 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 270964800720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466834406400).

270964800720 is an abundant number, since it is smaller than the sum of its proper divisors (662704012080).

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

270964800720 is a wasteful number, since it uses less digits than its factorization.

270964800720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46474 (or 46462 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 270964800720 in words is "two hundred seventy billion, nine hundred sixty-four million, eight hundred thousand, seven hundred twenty".