8123722712640 has 168 divisors, whose sum is σ = 29585881498680. Its totient is φ = 2038895099904.

The previous prime is 8123722712617. The next prime is 8123722712669. The reversal of 8123722712640 is 462172273218.

8123722712640 is a `hidden beast` number, since 8 + 1 + 2 + 372 + 271 + 2 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 834241103424 + 7289481609216 = 913368^2 + 2699904^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82913895 + ... + 83011814.

Almost surely, 2^{8123722712640} is an apocalyptic number.

8123722712640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8123722712640 is an abundant number, since it is smaller than the sum of its proper divisors (21462158786040).

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

8123722712640 is a wasteful number, since it uses less digits than its factorization.

8123722712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165925749 (or 165925736 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

Adding to 8123722712640 its reverse (462172273218), we get a palindrome (8585894985858).

The spelling of 8123722712640 in words is "eight trillion, one hundred twenty-three billion, seven hundred twenty-two million, seven hundred twelve thousand, six hundred forty".