38068547788800 has 672 divisors, whose sum is σ = 140586722290560. Its totient is φ = 10098730598400.

The previous prime is 38068547788723. The next prime is 38068547788807. The reversal of 38068547788800 is 888774586083.

38068547788800 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 8 + 547 + 78 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (38068547788807) 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, 1067194965 + ... + 1067230635.

It is an arithmetic number, because the mean of its divisors is an integer number (209206431980).

Almost surely, 2^{38068547788800} is an apocalyptic number.

38068547788800 is a gapful number since it is divisible by the number (30) 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 38068547788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70293361145280).

38068547788800 is an abundant number, since it is smaller than the sum of its proper divisors (102518174501760).

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

38068547788800 is a wasteful number, since it uses less digits than its factorization.

38068547788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35909 (or 35874 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 38068547788800 in words is "thirty-eight trillion, sixty-eight billion, five hundred forty-seven million, seven hundred eighty-eight thousand, eight hundred".