8741836320 has 768 divisors, whose sum is σ = 35115171840. Its totient is φ = 1784217600.

The previous prime is 8741836253. The next prime is 8741836349. The reversal of 8741836320 is 236381478.

It is a super-2 number, since 2×8741836320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98222836 + ... + 98222924.

It is an arithmetic number, because the mean of its divisors is an integer number (45722880).

Almost surely, 2^8741836320 is an apocalyptic number.

8741836320 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 8741836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557585920).

8741836320 is an abundant number, since it is smaller than the sum of its proper divisors (26373335520).

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

8741836320 is a wasteful number, since it uses less digits than its factorization.

8741836320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 8741836320 is about 93497.7877813160. The cubic root of 8741836320 is about 2060.0015961278.

The spelling of 8741836320 in words is "eight billion, seven hundred forty-one million, eight hundred thirty-six thousand, three hundred twenty".