6129768906 has 16 divisors (see below), whose sum is σ = 13621708800. Its totient is φ = 2043256284.

The previous prime is 6129768851. The next prime is 6129768913. The reversal of 6129768906 is 6098679216.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 113514239 = 6129768906 / (6 + 1 + 2 + 9 + 7 + 6 + 8 + 9 + 0 + 6).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56757066 + ... + 56757173.

It is an arithmetic number, because the mean of its divisors is an integer number (851356800).

Almost surely, 2^6129768906 is an apocalyptic number.

6129768906 is an abundant number, since it is smaller than the sum of its proper divisors (7491939894).

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

6129768906 is a wasteful number, since it uses less digits than its factorization.

6129768906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113514250 (or 113514244 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 6129768906 is about 78292.8407071809. The cubic root of 6129768906 is about 1830.1275858372.

The spelling of 6129768906 in words is "six billion, one hundred twenty-nine million, seven hundred sixty-eight thousand, nine hundred six".