6138437760 has 768 divisors, whose sum is σ = 26732160000. Its totient is φ = 1289723904.

The previous prime is 6138437719. The next prime is 6138437771. The reversal of 6138437760 is 677348316.

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, 25683721 + ... + 25683959.

It is an arithmetic number, because the mean of its divisors is an integer number (34807500).

Almost surely, 2^6138437760 is an apocalyptic number.

6138437760 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 6138437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080000).

6138437760 is an abundant number, since it is smaller than the sum of its proper divisors (20593722240).

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

6138437760 is a wasteful number, since it uses less digits than its factorization.

6138437760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6138437760 is about 78348.1828761842. The cubic root of 6138437760 is about 1830.9899150173.

The spelling of 6138437760 in words is "six billion, one hundred thirty-eight million, four hundred thirty-seven thousand, seven hundred sixty".