7494833299968 has 1440 divisors, whose sum is σ = 26879113198080. Its totient is φ = 2001502863360.

The previous prime is 7494833299897. The next prime is 7494833299973. The reversal of 7494833299968 is 8699923384947.

7494833299968 is a `hidden beast` number, since 7 + 49 + 483 + 3 + 2 + 9 + 9 + 96 + 8 = 666.

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

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, 33016886671 + ... + 33016886897.

It is an arithmetic number, because the mean of its divisors is an integer number (18666050832).

Almost surely, 2^{7494833299968} 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 7494833299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439556599040).

7494833299968 is an abundant number, since it is smaller than the sum of its proper divisors (19384279898112).

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

7494833299968 is a wasteful number, since it uses less digits than its factorization.

7494833299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 412 counting only the distinct ones).

The product of its digits is 5079158784, while the sum is 81.

The spelling of 7494833299968 in words is "seven trillion, four hundred ninety-four billion, eight hundred thirty-three million, two hundred ninety-nine thousand, nine hundred sixty-eight".