8723079267840 has 1600 divisors, whose sum is σ = 36672644764800. Its totient is φ = 1940544552960.

The previous prime is 8723079267821. The next prime is 8723079267887. The reversal of 8723079267840 is 487629703278.

It is a super-2 number, since 2×8723079267840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11462653060 + ... + 11462653820.

It is an arithmetic number, because the mean of its divisors is an integer number (22920402978).

Almost surely, 2^{8723079267840} is an apocalyptic number.

8723079267840 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 8723079267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18336322382400).

8723079267840 is an abundant number, since it is smaller than the sum of its proper divisors (27949565496960).

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

8723079267840 is a wasteful number, since it uses less digits than its factorization.

8723079267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 8723079267840 in words is "eight trillion, seven hundred twenty-three billion, seventy-nine million, two hundred sixty-seven thousand, eight hundred forty".