7834731513648 has 320 divisors, whose sum is σ = 24003563673600. Its totient is φ = 2180692869120.

The previous prime is 7834731513619. The next prime is 7834731513649. The reversal of 7834731513648 is 8463151374387.

It is a super-2 number, since 2×7834731513648² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7834731513591 and 7834731513600.

It is not an unprimeable number, because it can be changed into a prime (7834731513649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22675048 + ... + 23017976.

It is an arithmetic number, because the mean of its divisors is an integer number (75011136480).

Almost surely, 2^{7834731513648} is an apocalyptic number.

7834731513648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7834731513648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12001781836800).

7834731513648 is an abundant number, since it is smaller than the sum of its proper divisors (16168832159952).

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

7834731513648 is a wasteful number, since it uses less digits than its factorization.

7834731513648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343060 (or 343054 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The spelling of 7834731513648 in words is "seven trillion, eight hundred thirty-four billion, seven hundred thirty-one million, five hundred thirteen thousand, six hundred forty-eight".