7126068411600 has 960 divisors, whose sum is σ = 25294613541120. Its totient is φ = 1707658444800.

The previous prime is 7126068411563. The next prime is 7126068411677. The reversal of 7126068411600 is 61148606217.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 7572867130 + ... + 7572868070.

It is an arithmetic number, because the mean of its divisors is an integer number (26348555772).

Almost surely, 2^{7126068411600} 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 7126068411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647306770560).

7126068411600 is an abundant number, since it is smaller than the sum of its proper divisors (18168545129520).

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

7126068411600 is a wasteful number, since it uses less digits than its factorization.

7126068411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 7126068411600 in words is "seven trillion, one hundred twenty-six billion, sixty-eight million, four hundred eleven thousand, six hundred".