7838510470756 has 81 divisors (see below), whose sum is σ = 16490869511571. Its totient is φ = 3250491174000.

The previous prime is 7838510470753. The next prime is 7838510470789. The reversal of 7838510470756 is 6570740158387.

The square root of 7838510470756 is 2799734.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×7838510470756² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7838510470694 and 7838510470703.

It is not an unprimeable number, because it can be changed into a prime (7838510470753) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1215081331 + ... + 1215087781.

Almost surely, 2^{7838510470756} is an apocalyptic number.

7838510470756 is the 2799734-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7838510470756

7838510470756 is an abundant number, since it is smaller than the sum of its proper divisors (8652359040815).

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

7838510470756 is an frugal number, since it uses more digits than its factorization.

7838510470756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12982 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 61.

The spelling of 7838510470756 in words is "seven trillion, eight hundred thirty-eight billion, five hundred ten million, four hundred seventy thousand, seven hundred fifty-six".