8524988640 has 1152 divisors, whose sum is σ = 38720747520. Its totient is φ = 1737179136.

The previous prime is 8524988611. The next prime is 8524988651. The reversal of 8524988640 is 468894258.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82766829 + ... + 82766931.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 2^8524988640 is an apocalyptic number.

8524988640 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 8524988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19360373760).

8524988640 is an abundant number, since it is smaller than the sum of its proper divisors (30195758880).

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

8524988640 is a wasteful number, since it uses less digits than its factorization.

8524988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 8524988640 is about 92330.8650452274. The cubic root of 8524988640 is about 2042.8254965116.

It can be divided in two parts, 85249 and 88640, that added together give a square (173889 = 417²).

The spelling of 8524988640 in words is "eight billion, five hundred twenty-four million, nine hundred eighty-eight thousand, six hundred forty".