8421728760 has 448 divisors, whose sum is σ = 30738657600. Its totient is φ = 2069286912.

The previous prime is 8421728759. The next prime is 8421728773. The reversal of 8421728760 is 678271248.

It is a super-2 number, since 2×8421728760² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 19449504 + ... + 19449936.

It is an arithmetic number, because the mean of its divisors is an integer number (68613075).

Almost surely, 2^8421728760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8421728760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15369328800).

8421728760 is an abundant number, since it is smaller than the sum of its proper divisors (22316928840).

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

8421728760 is a wasteful number, since it uses less digits than its factorization.

8421728760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8421728760 is about 91769.9774436063. The cubic root of 8421728760 is about 2034.5439848162.

The spelling of 8421728760 in words is "eight billion, four hundred twenty-one million, seven hundred twenty-eight thousand, seven hundred sixty".