6429412512 has 144 divisors (see below), whose sum is σ = 19625434920. Its totient is φ = 1989328896.

The previous prime is 6429412511. The next prime is 6429412519. The reversal of 6429412512 is 2152149246.

It is a happy number.

6429412512 is a `hidden beast` number, since 6 + 42 + 94 + 12 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6400640016 + 28772496 = 80004^2 + 5364^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6429412511) 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, 348414 + ... + 366402.

Almost surely, 2^6429412512 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 6429412512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812717460).

6429412512 is an abundant number, since it is smaller than the sum of its proper divisors (13196022408).

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

6429412512 is a wasteful number, since it uses less digits than its factorization.

6429412512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18095 (or 18084 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 6429412512 is about 80183.6174788841. The cubic root of 6429412512 is about 1859.4753705946.

The spelling of 6429412512 in words is "six billion, four hundred twenty-nine million, four hundred twelve thousand, five hundred twelve".