7135753374464 has 216 divisors, whose sum is σ = 16972353231456. Its totient is φ = 2974169088000.

The previous prime is 7135753374437. The next prime is 7135753374469. The reversal of 7135753374464 is 4644733575317.

It is not an unprimeable number, because it can be changed into a prime (7135753374469) 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 23 ways as a sum of consecutive naturals, for example, 60747212 + ... + 60864564.

Almost surely, 2^{7135753374464} 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 7135753374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8486176615728).

7135753374464 is an abundant number, since it is smaller than the sum of its proper divisors (9836599856992).

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

7135753374464 is a wasteful number, since it uses less digits than its factorization.

7135753374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117555 (or 117530 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 59.

The spelling of 7135753374464 in words is "seven trillion, one hundred thirty-five billion, seven hundred fifty-three million, three hundred seventy-four thousand, four hundred sixty-four".