6385456000 has 512 divisors, whose sum is σ = 20346992640. Its totient is φ = 1935360000.

The previous prime is 6385455997. The next prime is 6385456019. The reversal of 6385456000 is 6545836.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87471964 + ... + 87472036.

It is an arithmetic number, because the mean of its divisors is an integer number (39740220).

Almost surely, 2^6385456000 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 6385456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10173496320).

6385456000 is an abundant number, since it is smaller than the sum of its proper divisors (13961536640).

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

6385456000 is a wasteful number, since it uses less digits than its factorization.

6385456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 6385456000 is about 79909.0482986752. The cubic root of 6385456000 is about 1855.2280653324.

The spelling of 6385456000 in words is "six billion, three hundred eighty-five million, four hundred fifty-six thousand".