7126742937600 has 1872 divisors, whose sum is σ = 31763176964064. Its totient is φ = 1500512256000.

The previous prime is 7126742937599. The next prime is 7126742937623. The reversal of 7126742937600 is 67392476217.

7126742937600 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 7 + 4 + 29 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2240408010 + ... + 2240411190.

It is an arithmetic number, because the mean of its divisors is an integer number (16967509062).

Almost surely, 2^{7126742937600} 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 7126742937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15881588482032).

7126742937600 is an abundant number, since it is smaller than the sum of its proper divisors (24636434026464).

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

7126742937600 is a wasteful number, since it uses less digits than its factorization.

7126742937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 7126742937600 in words is "seven trillion, one hundred twenty-six billion, seven hundred forty-two million, nine hundred thirty-seven thousand, six hundred".