6132968352 has 432 divisors, whose sum is σ = 21990588480. Its totient is φ = 1628729856.

The previous prime is 6132968339. The next prime is 6132968357. The reversal of 6132968352 is 2538692316.

6132968352 is a `hidden beast` number, since 6 + 1 + 3 + 296 + 8 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×6132968352² = 75226601613267191808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6132968298 and 6132968307.

It is not an unprimeable number, because it can be changed into a prime (6132968357) 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 71 ways as a sum of consecutive naturals, for example, 115716358 + ... + 115716410.

It is an arithmetic number, because the mean of its divisors is an integer number (50904140).

Almost surely, 2^6132968352 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 6132968352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10995294240).

6132968352 is an abundant number, since it is smaller than the sum of its proper divisors (15857620128).

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

6132968352 is a wasteful number, since it uses less digits than its factorization.

6132968352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 84 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 6132968352 is about 78313.2705995606. The cubic root of 6132968352 is about 1830.4459434580.

The spelling of 6132968352 in words is "six billion, one hundred thirty-two million, nine hundred sixty-eight thousand, three hundred fifty-two".