6228006400 has 480 divisors, whose sum is σ = 19728023040. Its totient is φ = 1892352000.

The previous prime is 6228006397. The next prime is 6228006403. The reversal of 6228006400 is 46008226.

It is an interprime number because it is at equal distance from previous prime (6228006397) and next prime (6228006403).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6228006403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69977556 + ... + 69977644.

It is an arithmetic number, because the mean of its divisors is an integer number (41100048).

Almost surely, 2^6228006400 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 6228006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864011520).

6228006400 is an abundant number, since it is smaller than the sum of its proper divisors (13500016640).

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

6228006400 is a wasteful number, since it uses less digits than its factorization.

6228006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 6228006400 is about 78917.7191763675. The cubic root of 6228006400 is about 1839.8525401676.

The spelling of 6228006400 in words is "six billion, two hundred twenty-eight million, six thousand, four hundred".