7298434126368 has 1296 divisors, whose sum is σ = 27646966652760. Its totient is φ = 1818077184000.

The previous prime is 7298434126339. The next prime is 7298434126391. The reversal of 7298434126368 is 8636214348927.

7298434126368 is a `hidden beast` number, since 7 + 29 + 8 + 4 + 341 + 263 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1243822711824 + 6054611414544 = 1115268^2 + 2460612^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 4270586698 + ... + 4270588406.

Almost surely, 2^{7298434126368} 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 7298434126368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823483326380).

7298434126368 is an abundant number, since it is smaller than the sum of its proper divisors (20348532526392).

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

7298434126368 is a wasteful number, since it uses less digits than its factorization.

7298434126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1834 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 7298434126368 in words is "seven trillion, two hundred ninety-eight billion, four hundred thirty-four million, one hundred twenty-six thousand, three hundred sixty-eight".