7493743143936 has 1056 divisors, whose sum is σ = 26368954859520. Its totient is φ = 2081298530304.

The previous prime is 7493743143911. The next prime is 7493743143937. The reversal of 7493743143936 is 6393413473947.

7493743143936 is a `hidden beast` number, since 7 + 49 + 37 + 431 + 43 + 93 + 6 = 666.

It is a super-2 number, since 2×7493743143936² (a number of 27 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (7493743143937) 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 95 ways as a sum of consecutive naturals, for example, 19565908801 + ... + 19565909183.

Almost surely, 2^{7493743143936} 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 7493743143936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13184477429760).

7493743143936 is an abundant number, since it is smaller than the sum of its proper divisors (18875211715584).

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

7493743143936 is a wasteful number, since it uses less digits than its factorization.

7493743143936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 681 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 63.

The spelling of 7493743143936 in words is "seven trillion, four hundred ninety-three billion, seven hundred forty-three million, one hundred forty-three thousand, nine hundred thirty-six".