8724735400 has 96 divisors (see below), whose sum is σ = 21509784000. Its totient is φ = 3281886720.

The previous prime is 8724735373. The next prime is 8724735401. The reversal of 8724735400 is 45374278.

It is a super-2 number, since 2×8724735400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8724735401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512221 + ... + 528979.

It is an arithmetic number, because the mean of its divisors is an integer number (224060250).

Almost surely, 2^8724735400 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 8724735400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754892000).

8724735400 is an abundant number, since it is smaller than the sum of its proper divisors (12785048600).

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

8724735400 is a wasteful number, since it uses less digits than its factorization.

8724735400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16931 (or 16922 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The square root of 8724735400 is about 93406.2920792813. The cubic root of 8724735400 is about 2058.6574499117.

The spelling of 8724735400 in words is "eight billion, seven hundred twenty-four million, seven hundred thirty-five thousand, four hundred".