6326576928 has 672 divisors, whose sum is σ = 23559693696. Its totient is φ = 1630347264.

The previous prime is 6326576899. The next prime is 6326576929. The reversal of 6326576928 is 8296756236.

6326576928 is a `hidden beast` number, since 63 + 2 + 6 + 576 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (6326576929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 119369350 + ... + 119369402.

It is an arithmetic number, because the mean of its divisors is an integer number (35059068).

Almost surely, 2^6326576928 is an apocalyptic number.

6326576928 is a gapful number since it is divisible by the number (68) 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 6326576928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11779846848).

6326576928 is an abundant number, since it is smaller than the sum of its proper divisors (17233116768).

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

6326576928 is a wasteful number, since it uses less digits than its factorization.

6326576928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 6326576928 is about 79539.7820464703. The cubic root of 6326576928 is about 1849.5082138623.

The spelling of 6326576928 in words is "six billion, three hundred twenty-six million, five hundred seventy-six thousand, nine hundred twenty-eight".