7543428768 has 144 divisors (see below), whose sum is σ = 23242355136. Its totient is φ = 2311464960.

The previous prime is 7543428733. The next prime is 7543428797. The reversal of 7543428768 is 8678243457.

7543428768 is a `hidden beast` number, since 7 + 543 + 4 + 28 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192613 + ... + 228443.

It is an arithmetic number, because the mean of its divisors is an integer number (161405244).

Almost surely, 2^7543428768 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 7543428768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621177568).

7543428768 is an abundant number, since it is smaller than the sum of its proper divisors (15698926368).

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

7543428768 is a wasteful number, since it uses less digits than its factorization.

7543428768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35907 (or 35896 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The square root of 7543428768 is about 86852.9145624947. The cubic root of 7543428768 is about 1961.2047265219.

The spelling of 7543428768 in words is "seven billion, five hundred forty-three million, four hundred twenty-eight thousand, seven hundred sixty-eight".