8724263040 has 192 divisors, whose sum is σ = 31098412800. Its totient is φ = 2251376640.

The previous prime is 8724263039. The next prime is 8724263047. The reversal of 8724263040 is 403624278.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×8724263040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8724262986 and 8724263004.

It is not an unprimeable number, because it can be changed into a prime (8724263047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154131 + ... + 202989.

It is an arithmetic number, because the mean of its divisors is an integer number (161970900).

Almost surely, 2^8724263040 is an apocalyptic number.

8724263040 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 8724263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549206400).

8724263040 is an abundant number, since it is smaller than the sum of its proper divisors (22374149760).

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

8724263040 is a wasteful number, since it uses less digits than its factorization.

8724263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48915 (or 48900 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 8724263040 is about 93403.7635216055. The cubic root of 8724263040 is about 2058.6202971142.

The spelling of 8724263040 in words is "eight billion, seven hundred twenty-four million, two hundred sixty-three thousand, forty".