9727542048 has 48 divisors (see below), whose sum is σ = 29182628160. Its totient is φ = 2779297536.

The previous prime is 9727542047. The next prime is 9727542151. The reversal of 9727542048 is 8402457279.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 9727541988 and 9727542006.

It is not an unprimeable number, because it can be changed into a prime (9727542047) 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 7 ways as a sum of consecutive naturals, for example, 7237083 + ... + 7238426.

It is an arithmetic number, because the mean of its divisors is an integer number (607971420).

Almost surely, 2^9727542048 is an apocalyptic number.

It is an amenable number.

9727542048 is an abundant number, since it is smaller than the sum of its proper divisors (19455086112).

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

9727542048 is a wasteful number, since it uses less digits than its factorization.

9727542048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475529 (or 14475521 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 9727542048 is about 98628.3024694230. The cubic root of 9727542048 is about 2134.6878206484.

It can be divided in two parts, 9727 and 542048, that added together give a triangular number (551775 = T₁₀₅₀).

The spelling of 9727542048 in words is "nine billion, seven hundred twenty-seven million, five hundred forty-two thousand, forty-eight".