8260074144 has 240 divisors, whose sum is σ = 27974092608. Its totient is φ = 2342089728.

The previous prime is 8260074073. The next prime is 8260074211. The reversal of 8260074144 is 4414700628.

8260074144 is a `hidden beast` number, since 8 + 2 + 600 + 7 + 4 + 1 + 44 = 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 = 8260074099 and 8260074108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2484067 + ... + 2487389.

Almost surely, 2^8260074144 is an apocalyptic number.

8260074144 is a gapful number since it is divisible by the number (84) 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 8260074144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13987046304).

8260074144 is an abundant number, since it is smaller than the sum of its proper divisors (19714018464).

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

8260074144 is a wasteful number, since it uses less digits than its factorization.

8260074144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8260074144 is about 90884.9500412472. The cubic root of 8260074144 is about 2021.4421410964.

The spelling of 8260074144 in words is "eight billion, two hundred sixty million, seventy-four thousand, one hundred forty-four".