8241471360 has 384 divisors, whose sum is σ = 29772943200. Its totient is φ = 2178441216.

The previous prime is 8241471349. The next prime is 8241471391. The reversal of 8241471360 is 631741428.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30637306 + ... + 30637574.

Almost surely, 2^8241471360 is an apocalyptic number.

8241471360 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 8241471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886471600).

8241471360 is an abundant number, since it is smaller than the sum of its proper divisors (21531471840).

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

8241471360 is a wasteful number, since it uses less digits than its factorization.

8241471360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8241471360 is about 90782.5498650484. The cubic root of 8241471360 is about 2019.9234817272.

The spelling of 8241471360 in words is "eight billion, two hundred forty-one million, four hundred seventy-one thousand, three hundred sixty".