6038040960 has 768 divisors, whose sum is σ = 26396098560. Its totient is φ = 1239220224.

The previous prime is 6038040959. The next prime is 6038041007. The reversal of 6038040960 is 690408306.

6038040960 is a `hidden beast` number, since 603 + 8 + 0 + 40 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 15764929 + ... + 15765311.

It is an arithmetic number, because the mean of its divisors is an integer number (34369920).

Almost surely, 2^6038040960 is an apocalyptic number.

6038040960 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 6038040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13198049280).

6038040960 is an abundant number, since it is smaller than the sum of its proper divisors (20358057600).

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

6038040960 is a wasteful number, since it uses less digits than its factorization.

6038040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6038040960 is about 77704.8322821689. The cubic root of 6038040960 is about 1820.9527837383.

The spelling of 6038040960 in words is "six billion, thirty-eight million, forty thousand, nine hundred sixty".