6624202456224 has 192 divisors, whose sum is σ = 20009586401280. Its totient is φ = 2130648549120.

The previous prime is 6624202456213. The next prime is 6624202456283. The reversal of 6624202456224 is 4226542024266.

6624202456224 is a `hidden beast` number, since 6 + 6 + 2 + 42 + 0 + 24 + 562 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6624202456224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1734397 + ... + 4031939.

It is an arithmetic number, because the mean of its divisors is an integer number (104216595840).

Almost surely, 2^{6624202456224} 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 6624202456224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10004793200640).

6624202456224 is an abundant number, since it is smaller than the sum of its proper divisors (13385383945056).

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

6624202456224 is a wasteful number, since it uses less digits than its factorization.

6624202456224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297680 (or 2297666 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 6624202456224 in words is "six trillion, six hundred twenty-four billion, two hundred two million, four hundred fifty-six thousand, two hundred twenty-four".