6234216408 has 128 divisors (see below), whose sum is σ = 19826112000. Its totient is φ = 1778060160.

The previous prime is 6234216389. The next prime is 6234216413. The reversal of 6234216408 is 8046124326.

6234216408 is a `hidden beast` number, since 6 + 2 + 3 + 4 + 2 + 1 + 640 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932598 + ... + 939258.

It is an arithmetic number, because the mean of its divisors is an integer number (154891500).

Almost surely, 2^6234216408 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 6234216408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9913056000).

6234216408 is an abundant number, since it is smaller than the sum of its proper divisors (13591895592).

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

6234216408 is a wasteful number, since it uses less digits than its factorization.

6234216408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6234216408 is about 78957.0542003689. The cubic root of 6234216408 is about 1840.4638488737.

The spelling of 6234216408 in words is "six billion, two hundred thirty-four million, two hundred sixteen thousand, four hundred eight".