6329549952 has 640 divisors, whose sum is σ = 22748774400. Its totient is φ = 1724405760.

The previous prime is 6329549927. The next prime is 6329549953. The reversal of 6329549952 is 2599459236.

It is a happy number.

6329549952 is a `hidden beast` number, since 6 + 3 + 2 + 9 + 549 + 95 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6329549953) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49838913 + ... + 49839039.

It is an arithmetic number, because the mean of its divisors is an integer number (35544960).

Almost surely, 2^6329549952 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 6329549952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11374387200).

6329549952 is an abundant number, since it is smaller than the sum of its proper divisors (16419224448).

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

6329549952 is a wasteful number, since it uses less digits than its factorization.

6329549952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The square root of 6329549952 is about 79558.4687635452. The cubic root of 6329549952 is about 1849.7978792574.

The spelling of 6329549952 in words is "six billion, three hundred twenty-nine million, five hundred forty-nine thousand, nine hundred fifty-two".