7712408124642 has 64 divisors (see below), whose sum is σ = 16987368996864. Its totient is φ = 2319464808000.

The previous prime is 7712408124611. The next prime is 7712408124679. The reversal of 7712408124642 is 2464218042177.

It is a junction number, because it is equal to n+sod(n) for n = 7712408124591 and 7712408124600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1352523 + ... + 4153809.

It is an arithmetic number, because the mean of its divisors is an integer number (265427640576).

Almost surely, 2^{7712408124642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7712408124642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8493684498432).

7712408124642 is an abundant number, since it is smaller than the sum of its proper divisors (9274960872222).

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

7712408124642 is a wasteful number, since it uses less digits than its factorization.

7712408124642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802103.

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 7712408124642 in words is "seven trillion, seven hundred twelve billion, four hundred eight million, one hundred twenty-four thousand, six hundred forty-two".