8127615496 has 240 divisors, whose sum is σ = 21122621100. Its totient is φ = 2912152320.

The previous prime is 8127615469. The next prime is 8127615497. The reversal of 8127615496 is 6945167218.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6536722500 + 1590892996 = 80850^2 + 39886^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (8127615497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30214050 + ... + 30214318.

Almost surely, 2^8127615496 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 8127615496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561310550).

8127615496 is an abundant number, since it is smaller than the sum of its proper divisors (12995005604).

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

8127615496 is a wasteful number, since it uses less digits than its factorization.

8127615496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 302 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The square root of 8127615496 is about 90153.2888806615. The cubic root of 8127615496 is about 2010.5785729136.

The spelling of 8127615496 in words is "eight billion, one hundred twenty-seven million, six hundred fifteen thousand, four hundred ninety-six".