6385446432 has 480 divisors, whose sum is σ = 21734697600. Its totient is φ = 1825431552.

The previous prime is 6385446409. The next prime is 6385446439. The reversal of 6385446432 is 2346445836.

6385446432 is a `hidden beast` number, since 63 + 8 + 544 + 6 + 43 + 2 = 666.

It is a super-2 number, since 2×6385446432² = 81547852271883061248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6385446439) 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, 24279133 + ... + 24279395.

It is an arithmetic number, because the mean of its divisors is an integer number (45280620).

Almost surely, 2^6385446432 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 6385446432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10867348800).

6385446432 is an abundant number, since it is smaller than the sum of its proper divisors (15349251168).

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

6385446432 is a wasteful number, since it uses less digits than its factorization.

6385446432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 333 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The square root of 6385446432 is about 79908.9884305890. The cubic root of 6385446432 is about 1855.2271387042.

The spelling of 6385446432 in words is "six billion, three hundred eighty-five million, four hundred forty-six thousand, four hundred thirty-two".