8532061440 has 288 divisors, whose sum is σ = 31392700416. Its totient is φ = 1934499840.

The previous prime is 8532061429. The next prime is 8532061453. The reversal of 8532061440 is 441602358.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 3520069 + ... + 3522491.

It is an arithmetic number, because the mean of its divisors is an integer number (109002432).

Almost surely, 2^8532061440 is an apocalyptic number.

8532061440 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 8532061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696350208).

8532061440 is an abundant number, since it is smaller than the sum of its proper divisors (22860638976).

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

8532061440 is a wasteful number, since it uses less digits than its factorization.

8532061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 8532061440 is about 92369.1584891840. The cubic root of 8532061440 is about 2043.3902871863.

Adding to 8532061440 its reverse (441602358), we get a palindrome (8973663798).

The spelling of 8532061440 in words is "eight billion, five hundred thirty-two million, sixty-one thousand, four hundred forty".