6328469952 has 336 divisors, whose sum is σ = 22349399040. Its totient is φ = 1749081600.

The previous prime is 6328469933. The next prime is 6328469957. The reversal of 6328469952 is 2599648236.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6328469957) 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, 2623627 + ... + 2626037.

Almost surely, 2^6328469952 is an apocalyptic number.

6328469952 is a gapful number since it is divisible by the number (62) 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 6328469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11174699520).

6328469952 is an abundant number, since it is smaller than the sum of its proper divisors (16020929088).

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

6328469952 is a wasteful number, since it uses less digits than its factorization.

6328469952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2454 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 6328469952 is about 79551.6810130371. The cubic root of 6328469952 is about 1849.6926640177.

The spelling of 6328469952 in words is "six billion, three hundred twenty-eight million, four hundred sixty-nine thousand, nine hundred fifty-two".