270393106368 has 448 divisors, whose sum is σ = 952422653952. Its totient is φ = 65612574720.

The previous prime is 270393106349. The next prime is 270393106421. The reversal of 270393106368 is 863601393072.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×270393106368² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14612130 + ... + 14630622.

It is an arithmetic number, because the mean of its divisors is an integer number (2125943424).

Almost surely, 2^270393106368 is an apocalyptic number.

270393106368 is a gapful number since it is divisible by the number (28) 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 270393106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476211326976).

270393106368 is an abundant number, since it is smaller than the sum of its proper divisors (682029547584).

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

270393106368 is a wasteful number, since it uses less digits than its factorization.

270393106368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18592 (or 18582 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 270393106368 in words is "two hundred seventy billion, three hundred ninety-three million, one hundred six thousand, three hundred sixty-eight".