8541180640 has 192 divisors, whose sum is σ = 21821788800. Its totient is φ = 3150766080.

The previous prime is 8541180631. The next prime is 8541180671. The reversal of 8541180640 is 460811458.

It is a super-2 number, since 2×8541180640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 8541180640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20287630 + ... + 20288050.

It is an arithmetic number, because the mean of its divisors is an integer number (113655150).

Almost surely, 2^8541180640 is an apocalyptic number.

8541180640 is a gapful number since it is divisible by the number (80) 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 8541180640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10910894400).

8541180640 is an abundant number, since it is smaller than the sum of its proper divisors (13280608160).

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

8541180640 is a wasteful number, since it uses less digits than its factorization.

8541180640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 8541180640 is about 92418.5081030851. The cubic root of 8541180640 is about 2044.1180304160.

The spelling of 8541180640 in words is "eight billion, five hundred forty-one million, one hundred eighty thousand, six hundred forty".