7566794460342 has 288 divisors, whose sum is σ = 19738845434880. Its totient is φ = 2084891477760.

The previous prime is 7566794460331. The next prime is 7566794460383. The reversal of 7566794460342 is 2430644976657.

7566794460342 is a `hidden beast` number, since 7 + 5 + 66 + 79 + 4 + 460 + 3 + 42 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7566794460342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76995628 + ... + 77093840.

It is an arithmetic number, because the mean of its divisors is an integer number (68537657760).

Almost surely, 2^{7566794460342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7566794460342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9869422717440).

7566794460342 is an abundant number, since it is smaller than the sum of its proper divisors (12172050974538).

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

7566794460342 is a wasteful number, since it uses less digits than its factorization.

7566794460342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98340 (or 98324 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 7566794460342 in words is "seven trillion, five hundred sixty-six billion, seven hundred ninety-four million, four hundred sixty thousand, three hundred forty-two".