6038756064 has 336 divisors, whose sum is σ = 19722319344. Its totient is φ = 1804032000.

The previous prime is 6038756027. The next prime is 6038756069. The reversal of 6038756064 is 4606578306.

6038756064 is a `hidden beast` number, since 6 + 0 + 3 + 87 + 560 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6038756069) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25917292 + ... + 25917524.

It is an arithmetic number, because the mean of its divisors is an integer number (58697379).

Almost surely, 2^6038756064 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 6038756064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9861159672).

6038756064 is an abundant number, since it is smaller than the sum of its proper divisors (13683563280).

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

6038756064 is a wasteful number, since it uses less digits than its factorization.

6038756064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6038756064 is about 77709.4335586099. The cubic root of 6038756064 is about 1821.0246679374.

The spelling of 6038756064 in words is "six billion, thirty-eight million, seven hundred fifty-six thousand, sixty-four".