6426216000 has 560 divisors, whose sum is σ = 24394436352. Its totient is φ = 1669248000.

The previous prime is 6426215993. The next prime is 6426216011. The reversal of 6426216000 is 6126246.

It is a happy number.

6426216000 is a `hidden beast` number, since 642 + 6 + 2 + 16 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 30455895 + ... + 30456105.

Almost surely, 2^6426216000 is an apocalyptic number.

6426216000 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 6426216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12197218176).

6426216000 is an abundant number, since it is smaller than the sum of its proper divisors (17968220352).

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

6426216000 is a wasteful number, since it uses less digits than its factorization.

6426216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6426216000 is about 80163.6825501424. The cubic root of 6426216000 is about 1859.1671609602.

The spelling of 6426216000 in words is "six billion, four hundred twenty-six million, two hundred sixteen thousand".