270220828416 has 1728 divisors, whose sum is σ = 1063000350720. Its totient is φ = 59825848320.

The previous prime is 270220828411. The next prime is 270220828417. The reversal of 270220828416 is 614828022072.

It is a super-2 number, since 2×270220828416² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270220828411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5749379305 + ... + 5749379351.

It is an arithmetic number, because the mean of its divisors is an integer number (615162240).

Almost surely, 2^270220828416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270220828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531500175360).

270220828416 is an abundant number, since it is smaller than the sum of its proper divisors (792779522304).

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

270220828416 is a wasteful number, since it uses less digits than its factorization.

270220828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 270220828416 in words is "two hundred seventy billion, two hundred twenty million, eight hundred twenty-eight thousand, four hundred sixteen".