7546006960128 has 1536 divisors, whose sum is σ = 29011878604800. Its totient is φ = 1883510931456.

The previous prime is 7546006960049. The next prime is 7546006960147. The reversal of 7546006960128 is 8210696006457.

7546006960128 is a `hidden beast` number, since 7 + 5 + 4 + 6 + 0 + 0 + 6 + 9 + 601 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 13078001376 + ... + 13078001952.

It is an arithmetic number, because the mean of its divisors is an integer number (18887941800).

Almost surely, 2^{7546006960128} is an apocalyptic number.

7546006960128 is a gapful number since it is divisible by the number (78) 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 7546006960128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14505939302400).

7546006960128 is an abundant number, since it is smaller than the sum of its proper divisors (21465871644672).

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

7546006960128 is a wasteful number, since it uses less digits than its factorization.

7546006960128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 7546006960128 in words is "seven trillion, five hundred forty-six billion, six million, nine hundred sixty thousand, one hundred twenty-eight".