6022848000 has 640 divisors, whose sum is σ = 22878535680. Its totient is φ = 1393459200.

The previous prime is 6022847959. The next prime is 6022848023. The reversal of 6022848000 is 8482206.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×6022848000² = 72549396062208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47423937 + ... + 47424063.

It is an arithmetic number, because the mean of its divisors is an integer number (35747712).

Almost surely, 2^6022848000 is an apocalyptic number.

6022848000 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 6022848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439267840).

6022848000 is an abundant number, since it is smaller than the sum of its proper divisors (16855687680).

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

6022848000 is a wasteful number, since it uses less digits than its factorization.

6022848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 6022848000 is about 77607.0099926547. The cubic root of 6022848000 is about 1819.4242029918.

The spelling of 6022848000 in words is "six billion, twenty-two million, eight hundred forty-eight thousand".