8485533840 has 240 divisors, whose sum is σ = 31347993600. Its totient is φ = 1892136960.

The previous prime is 8485533827. The next prime is 8485533841. The reversal of 8485533840 is 483355848.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8485533840.

It is not an unprimeable number, because it can be changed into a prime (8485533841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473361 + ... + 490959.

It is an arithmetic number, because the mean of its divisors is an integer number (130616640).

Almost surely, 2^8485533840 is an apocalyptic number.

8485533840 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 8485533840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673996800).

8485533840 is an abundant number, since it is smaller than the sum of its proper divisors (22862459760).

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

8485533840 is a wasteful number, since it uses less digits than its factorization.

8485533840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17670 (or 17657 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The square root of 8485533840 is about 92116.9573965619. The cubic root of 8485533840 is about 2039.6691312680.

The spelling of 8485533840 in words is "eight billion, four hundred eighty-five million, five hundred thirty-three thousand, eight hundred forty".