6038997120 has 768 divisors, whose sum is σ = 24326265600. Its totient is φ = 1421328384.

The previous prime is 6038997113. The next prime is 6038997131. The reversal of 6038997120 is 217998306.

6038997120 is a `hidden beast` number, since 60 + 389 + 97 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58630989 + ... + 58631091.

It is an arithmetic number, because the mean of its divisors is an integer number (31674825).

Almost surely, 2^6038997120 is an apocalyptic number.

6038997120 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 6038997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163132800).

6038997120 is an abundant number, since it is smaller than the sum of its proper divisors (18287268480).

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

6038997120 is a wasteful number, since it uses less digits than its factorization.

6038997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 6038997120 is about 77710.9845517350. The cubic root of 6038997120 is about 1821.0488982633.

The spelling of 6038997120 in words is "six billion, thirty-eight million, nine hundred ninety-seven thousand, one hundred twenty".