8243477760 has 432 divisors, whose sum is σ = 30920291136. Its totient is φ = 1866203136.

The previous prime is 8243477743. The next prime is 8243477761. The reversal of 8243477760 is 677743428.

It is a super-2 number, since 2×8243477760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8243477761) 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 47 ways as a sum of consecutive naturals, for example, 36314767 + ... + 36314993.

It is an arithmetic number, because the mean of its divisors is an integer number (71574748).

Almost surely, 2^8243477760 is an apocalyptic number.

8243477760 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 8243477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460145568).

8243477760 is an abundant number, since it is smaller than the sum of its proper divisors (22676813376).

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

8243477760 is a wasteful number, since it uses less digits than its factorization.

8243477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The square root of 8243477760 is about 90793.5997744334. The cubic root of 8243477760 is about 2020.0873863447.

The spelling of 8243477760 in words is "eight billion, two hundred forty-three million, four hundred seventy-seven thousand, seven hundred sixty".