6429827712 has 384 divisors, whose sum is σ = 21918314880. Its totient is φ = 1634181120.

The previous prime is 6429827693. The next prime is 6429827717. The reversal of 6429827712 is 2177289246.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (6429827717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17237958 + ... + 17238330.

It is an arithmetic number, because the mean of its divisors is an integer number (57078945).

Almost surely, 2^6429827712 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 6429827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10959157440).

6429827712 is an abundant number, since it is smaller than the sum of its proper divisors (15488487168).

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

6429827712 is a wasteful number, since it uses less digits than its factorization.

6429827712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 449 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 6429827712 is about 80186.2064946335. The cubic root of 6429827712 is about 1859.5153969347.

The spelling of 6429827712 in words is "six billion, four hundred twenty-nine million, eight hundred twenty-seven thousand, seven hundred twelve".