6038668800 has 480 divisors, whose sum is σ = 22513692960. Its totient is φ = 1585152000.

The previous prime is 6038668793. The next prime is 6038668807. The reversal of 6038668800 is 88668306.

It is an interprime number because it is at equal distance from previous prime (6038668793) and next prime (6038668807).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6038668807) 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, 34905514 + ... + 34905686.

It is an arithmetic number, because the mean of its divisors is an integer number (46903527).

Almost surely, 2^6038668800 is an apocalyptic number.

6038668800 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 6038668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11256846480).

6038668800 is an abundant number, since it is smaller than the sum of its proper divisors (16475024160).

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

6038668800 is a wasteful number, since it uses less digits than its factorization.

6038668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6038668800 is about 77708.8720803487. The cubic root of 6038668800 is about 1821.0158962268.

The spelling of 6038668800 in words is "six billion, thirty-eight million, six hundred sixty-eight thousand, eight hundred".