270393940800 has 840 divisors, whose sum is σ = 1017918562584. Its totient is φ = 70389596160.

The previous prime is 270393940787. The next prime is 270393940823. The reversal of 270393940800 is 8049393072.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 92012728896 + 178381211904 = 303336^2 + 422352^2 .

It is a super-2 number, since 2×270393940800² (a number of 24 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 1722254322 + ... + 1722254478.

Almost surely, 2^270393940800 is an apocalyptic number.

270393940800 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 270393940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508959281292).

270393940800 is an abundant number, since it is smaller than the sum of its proper divisors (747524621784).

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

270393940800 is a wasteful number, since it uses less digits than its factorization.

270393940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 270393940800 in words is "two hundred seventy billion, three hundred ninety-three million, nine hundred forty thousand, eight hundred".