8180757648 has 400 divisors, whose sum is σ = 29422243840. Its totient is φ = 2141510400.

The previous prime is 8180757647. The next prime is 8180757659. The reversal of 8180757648 is 8467570818.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8180757594 and 8180757603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8180757647) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 5342643 + ... + 5344173.

Almost surely, 2^8180757648 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 8180757648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711121920).

8180757648 is an abundant number, since it is smaller than the sum of its proper divisors (21241486192).

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

8180757648 is a wasteful number, since it uses less digits than its factorization.

8180757648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The square root of 8180757648 is about 90447.5408620931. The cubic root of 8180757648 is about 2014.9510912605.

The spelling of 8180757648 in words is "eight billion, one hundred eighty million, seven hundred fifty-seven thousand, six hundred forty-eight".