6129768960 has 800 divisors, whose sum is σ = 25952838912. Its totient is φ = 1353646080.

The previous prime is 6129768949. The next prime is 6129768971. The reversal of 6129768960 is 698679216.

It is an interprime number because it is at equal distance from previous prime (6129768949) and next prime (6129768971).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6129768897 and 6129768906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59512269 + ... + 59512371.

Almost surely, 2^6129768960 is an apocalyptic number.

6129768960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6129768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12976419456).

6129768960 is an abundant number, since it is smaller than the sum of its proper divisors (19823069952).

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

6129768960 is a wasteful number, since it uses less digits than its factorization.

6129768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

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

The square root of 6129768960 is about 78292.8410520400. The cubic root of 6129768960 is about 1830.1275912114.

The spelling of 6129768960 in words is "six billion, one hundred twenty-nine million, seven hundred sixty-eight thousand, nine hundred sixty".