8261495424 has 512 divisors, whose sum is σ = 30410688000. Its totient is φ = 2149908480.

The previous prime is 8261495413. The next prime is 8261495467. The reversal of 8261495424 is 4245941628.

It is a happy number.

8261495424 is a `hidden beast` number, since 8 + 2 + 61 + 49 + 542 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8261495424.

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, 34279944 + ... + 34280184.

It is an arithmetic number, because the mean of its divisors is an integer number (59395875).

Almost surely, 2^8261495424 is an apocalyptic number.

8261495424 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 8261495424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205344000).

8261495424 is an abundant number, since it is smaller than the sum of its proper divisors (22149192576).

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

8261495424 is a wasteful number, since it uses less digits than its factorization.

8261495424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 375 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 8261495424 is about 90892.7688212874. The cubic root of 8261495424 is about 2021.5580751049.

The spelling of 8261495424 in words is "eight billion, two hundred sixty-one million, four hundred ninety-five thousand, four hundred twenty-four".