270221307840 has 336 divisors, whose sum is σ = 1018180047456. Its totient is φ = 65234534400.

The previous prime is 270221307827. The next prime is 270221307871. The reversal of 270221307840 is 48703122072.

270221307840 is a `hidden beast` number, since 270 + 2 + 2 + 1 + 307 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 270221307795 and 270221307804.

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 47 ways as a sum of consecutive naturals, for example, 7617184 + ... + 7652576.

Almost surely, 2^270221307840 is an apocalyptic number.

270221307840 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 270221307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509090023728).

270221307840 is an abundant number, since it is smaller than the sum of its proper divisors (747958739616).

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

270221307840 is a wasteful number, since it uses less digits than its factorization.

270221307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35668 (or 35655 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 270221307840 in words is "two hundred seventy billion, two hundred twenty-one million, three hundred seven thousand, eight hundred forty".