6329478144 has 176 divisors, whose sum is σ = 18603398016. Its totient is φ = 1897267200.

The previous prime is 6329478121. The next prime is 6329478161. The reversal of 6329478144 is 4418749236.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a junction number, because it is equal to n+sod(n) for n = 6329478093 and 6329478102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3276859 + ... + 3278789.

Almost surely, 2^6329478144 is an apocalyptic number.

6329478144 is a gapful number since it is divisible by the number (64) 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 6329478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9301699008).

6329478144 is an abundant number, since it is smaller than the sum of its proper divisors (12273919872).

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

6329478144 is a wasteful number, since it uses less digits than its factorization.

6329478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2044 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 6329478144 is about 79558.0174715283. The cubic root of 6329478144 is about 1849.7908839845.

The spelling of 6329478144 in words is "six billion, three hundred twenty-nine million, four hundred seventy-eight thousand, one hundred forty-four".