8524072480 has 288 divisors, whose sum is σ = 26126392320. Its totient is φ = 2569881600.

The previous prime is 8524072411. The next prime is 8524072483. The reversal of 8524072480 is 842704258.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8524072483) 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 47 ways as a sum of consecutive naturals, for example, 4200106 + ... + 4202134.

It is an arithmetic number, because the mean of its divisors is an integer number (90716640).

Almost surely, 2^8524072480 is an apocalyptic number.

8524072480 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 8524072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063196160).

8524072480 is an abundant number, since it is smaller than the sum of its proper divisors (17602319840).

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

8524072480 is a wasteful number, since it uses less digits than its factorization.

8524072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 8524072480 is about 92325.9036240642. The cubic root of 8524072480 is about 2042.7523147111.

The spelling of 8524072480 in words is "eight billion, five hundred twenty-four million, seventy-two thousand, four hundred eighty".