8724122680 has 256 divisors, whose sum is σ = 25274592000. Its totient is φ = 2691440640.

The previous prime is 8724122677. The next prime is 8724122681. The reversal of 8724122680 is 862214278.

It is a super-2 number, since 2×8724122680² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8724122681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7312164 + ... + 7313356.

It is an arithmetic number, because the mean of its divisors is an integer number (98728875).

Almost surely, 2^8724122680 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 8724122680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12637296000).

8724122680 is an abundant number, since it is smaller than the sum of its proper divisors (16550469320).

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

8724122680 is a wasteful number, since it uses less digits than its factorization.

8724122680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 8724122680 is about 93403.0121569963. The cubic root of 8724122680 is about 2058.6092570415.

The spelling of 8724122680 in words is "eight billion, seven hundred twenty-four million, one hundred twenty-two thousand, six hundred eighty".