8270073144 has 96 divisors (see below), whose sum is σ = 23376178800. Its totient is φ = 2638003200.

The previous prime is 8270073103. The next prime is 8270073151. The reversal of 8270073144 is 4413700728.

It is a happy number.

It is a super-2 number, since 2×8270073144² (a number of 21 digits) contains 22 as substring.

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 = 8270073099 and 8270073108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218419 + ... + 253469.

Almost surely, 2^8270073144 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 8270073144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11688089400).

8270073144 is an abundant number, since it is smaller than the sum of its proper divisors (15106105656).

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

8270073144 is a wasteful number, since it uses less digits than its factorization.

8270073144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35205 (or 35198 counting only the distinct ones).

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

The square root of 8270073144 is about 90939.9425115279. The cubic root of 8270073144 is about 2022.2574787978.

The spelling of 8270073144 in words is "eight billion, two hundred seventy million, seventy-three thousand, one hundred forty-four".