6368256000 has 336 divisors, whose sum is σ = 22991509008. Its totient is φ = 1695744000.

The previous prime is 6368255989. The next prime is 6368256001. The reversal of 6368256000 is 6528636.

It is a super-4 number, since 4×6368256000⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6368256001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215655 + ... + 9216345.

Almost surely, 2^6368256000 is an apocalyptic number.

6368256000 is a gapful number since it is divisible by the number (60) 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 6368256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495754504).

6368256000 is an abundant number, since it is smaller than the sum of its proper divisors (16623253008).

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

6368256000 is an equidigital number, since it uses as much as digits as its factorization.

6368256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6368256000 is about 79801.3533719824. The cubic root of 6368256000 is about 1853.5608068647.

The spelling of 6368256000 in words is "six billion, three hundred sixty-eight million, two hundred fifty-six thousand".