8149743360 has 432 divisors, whose sum is σ = 31217423328. Its totient is φ = 1946419200.

The previous prime is 8149743323. The next prime is 8149743361. The reversal of 8149743360 is 633479418.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8149743361) 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, 9250120 + ... + 9251000.

It is an arithmetic number, because the mean of its divisors is an integer number (72262554).

Almost surely, 2^8149743360 is an apocalyptic number.

8149743360 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 8149743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15608711664).

8149743360 is an abundant number, since it is smaller than the sum of its proper divisors (23067679968).

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

8149743360 is a wasteful number, since it uses less digits than its factorization.

8149743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 8149743360 is about 90275.9290176512. The cubic root of 8149743360 is about 2012.4015551037.

The spelling of 8149743360 in words is "eight billion, one hundred forty-nine million, seven hundred forty-three thousand, three hundred sixty".