270378873072 has 320 divisors, whose sum is σ = 979257323520. Its totient is φ = 69381446400.

The previous prime is 270378873031. The next prime is 270378873073.

270378873072 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270378873073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2711947 + ... + 2809877.

It is an arithmetic number, because the mean of its divisors is an integer number (3060179136).

Almost surely, 2^270378873072 is an apocalyptic number.

270378873072 is a gapful number since it is divisible by the number (22) 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 270378873072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489628661760).

270378873072 is an abundant number, since it is smaller than the sum of its proper divisors (708878450448).

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

270378873072 is a wasteful number, since it uses less digits than its factorization.

270378873072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98049 (or 98037 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 270378873072 in words is "two hundred seventy billion, three hundred seventy-eight million, eight hundred seventy-three thousand, seventy-two".