6213888000 has 768 divisors, whose sum is σ = 24530688000. Its totient is φ = 1548288000.

The previous prime is 6213887983. The next prime is 6213888007. The reversal of 6213888000 is 8883126.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×6213888000² = 77224808153088000000, which contains 22 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 (6213888007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200447985 + ... + 200448015.

It is an arithmetic number, because the mean of its divisors is an integer number (31941000).

Almost surely, 2^6213888000 is an apocalyptic number.

6213888000 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 6213888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265344000).

6213888000 is an abundant number, since it is smaller than the sum of its proper divisors (18316800000).

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

6213888000 is a wasteful number, since it uses less digits than its factorization.

6213888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6213888000 is about 78828.2182977644. The cubic root of 6213888000 is about 1838.4612213658.

The spelling of 6213888000 in words is "six billion, two hundred thirteen million, eight hundred eighty-eight thousand".