7543936512 has 640 divisors, whose sum is σ = 27367296000. Its totient is φ = 2048385024.

The previous prime is 7543936511. The next prime is 7543936531. The reversal of 7543936512 is 2156393457.

7543936512 is a `hidden beast` number, since 7 + 5 + 43 + 93 + 6 + 512 = 666.

It is a super-2 number, since 2×7543936512² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7543936511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175440363 + ... + 175440405.

It is an arithmetic number, because the mean of its divisors is an integer number (42761400).

Almost surely, 2^7543936512 is an apocalyptic number.

7543936512 is a gapful number since it is divisible by the number (72) 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 7543936512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683648000).

7543936512 is an abundant number, since it is smaller than the sum of its proper divisors (19823359488).

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

7543936512 is an equidigital number, since it uses as much as digits as its factorization.

7543936512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 92 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 7543936512 is about 86855.8375240260. The cubic root of 7543936512 is about 1961.2487280682.

The spelling of 7543936512 in words is "seven billion, five hundred forty-three million, nine hundred thirty-six thousand, five hundred twelve".