7540317700704 has 240 divisors, whose sum is σ = 22402018679040. Its totient is φ = 2487830526720.

The previous prime is 7540317700583. The next prime is 7540317700711. The reversal of 7540317700704 is 4070077130457.

It is a happy number.

7540317700704 is a `hidden beast` number, since 7 + 5 + 403 + 177 + 0 + 0 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7540317700704.

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 39 ways as a sum of consecutive naturals, for example, 675710677 + ... + 675721835.

It is an arithmetic number, because the mean of its divisors is an integer number (93341744496).

Almost surely, 2^{7540317700704} 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 7540317700704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201009339520).

7540317700704 is an abundant number, since it is smaller than the sum of its proper divisors (14861700978336).

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

7540317700704 is a wasteful number, since it uses less digits than its factorization.

7540317700704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13815 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 7540317700704 in words is "seven trillion, five hundred forty billion, three hundred seventeen million, seven hundred thousand, seven hundred four".