6429864672 has 288 divisors, whose sum is σ = 23800573440. Its totient is φ = 1669973760.

The previous prime is 6429864671. The next prime is 6429864697. The reversal of 6429864672 is 2764689246.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6429864671) 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, 458793 + ... + 472599.

It is an arithmetic number, because the mean of its divisors is an integer number (82640880).

Almost surely, 2^6429864672 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 6429864672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11900286720).

6429864672 is an abundant number, since it is smaller than the sum of its proper divisors (17370708768).

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

6429864672 is a wasteful number, since it uses less digits than its factorization.

6429864672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13851 (or 13830 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 6429864672 is about 80186.4369578796. The cubic root of 6429864672 is about 1859.5189598895.

The spelling of 6429864672 in words is "six billion, four hundred twenty-nine million, eight hundred sixty-four thousand, six hundred seventy-two".