8741295360 has 576 divisors, whose sum is σ = 37015695360. Its totient is φ = 1909923840.

The previous prime is 8741295307. The next prime is 8741295361. The reversal of 8741295360 is 635921478.

8741295360 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

8741295360 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8741295361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5563375 + ... + 5564945.

It is an arithmetic number, because the mean of its divisors is an integer number (64263360).

It is a 1-persistent number, because it is pandigital, but 2⋅8741295360 = 17482590720 is not.

Almost surely, 2^8741295360 is an apocalyptic number.

8741295360 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 8741295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18507847680).

8741295360 is an abundant number, since it is smaller than the sum of its proper divisors (28274400000).

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

8741295360 is a wasteful number, since it uses less digits than its factorization.

8741295360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8741295360 is about 93494.8948338892. The cubic root of 8741295360 is about 2059.9591030936.

The spelling of 8741295360 in words is "eight billion, seven hundred forty-one million, two hundred ninety-five thousand, three hundred sixty".