6385091328 has 864 divisors, whose sum is σ = 25141788672. Its totient is φ = 1567641600.

The previous prime is 6385091299. The next prime is 6385091393. The reversal of 6385091328 is 8231905836.

It is a happy number.

6385091328 is a `hidden beast` number, since 6 + 3 + 8 + 509 + 132 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148490475 + ... + 148490517.

Almost surely, 2^6385091328 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 6385091328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12570894336).

6385091328 is an abundant number, since it is smaller than the sum of its proper divisors (18756697344).

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

6385091328 is a wasteful number, since it uses less digits than its factorization.

6385091328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6385091328 is about 79906.7664719328. The cubic root of 6385091328 is about 1855.1927474366.

The spelling of 6385091328 in words is "six billion, three hundred eighty-five million, ninety-one thousand, three hundred twenty-eight".