7546732720128 has 1248 divisors, whose sum is σ = 26919583891200. Its totient is φ = 2081939521536.

The previous prime is 7546732720123. The next prime is 7546732720139. The reversal of 7546732720128 is 8210272376457.

It is a happy number.

7546732720128 is a `hidden beast` number, since 7 + 5 + 467 + 32 + 7 + 20 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7546732720123) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 32389410700 + ... + 32389410932.

It is an arithmetic number, because the mean of its divisors is an integer number (21570179400).

Almost surely, 2^{7546732720128} 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 7546732720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13459791945600).

7546732720128 is an abundant number, since it is smaller than the sum of its proper divisors (19372851171072).

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

7546732720128 is a wasteful number, since it uses less digits than its factorization.

7546732720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 7546732720128 in words is "seven trillion, five hundred forty-six billion, seven hundred thirty-two million, seven hundred twenty thousand, one hundred twenty-eight".