6129491472 has 120 divisors (see below), whose sum is σ = 18924418968. Its totient is φ = 1839974400.

The previous prime is 6129491471. The next prime is 6129491527. The reversal of 6129491472 is 2741949216.

6129491472 is a `hidden beast` number, since 6 + 1 + 2 + 94 + 91 + 472 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 245987856 + 5883503616 = 15684^2 + 76704^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6129491471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36822 + ... + 116682.

Almost surely, 2^6129491472 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 6129491472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9462209484).

6129491472 is an abundant number, since it is smaller than the sum of its proper divisors (12794927496).

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

6129491472 is a wasteful number, since it uses less digits than its factorization.

6129491472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79929 (or 79920 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 6129491472 is about 78291.0689159370. The cubic root of 6129491472 is about 1830.0999748302.

The spelling of 6129491472 in words is "six billion, one hundred twenty-nine million, four hundred ninety-one thousand, four hundred seventy-two".