6768416102400 has 432 divisors, whose sum is σ = 24572228761080. Its totient is φ = 1780177305600.

The previous prime is 6768416102359. The next prime is 6768416102401. The reversal of 6768416102400 is 42016148676.

6768416102400 is a `hidden beast` number, since 6 + 7 + 6 + 8 + 4 + 1 + 610 + 24 + 0 + 0 = 666.

It is a super-2 number, since 2×6768416102400² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768416102401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33537795 + ... + 33739005.

Almost surely, 2^{6768416102400} is an apocalyptic number.

6768416102400 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 6768416102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12286114380540).

6768416102400 is an abundant number, since it is smaller than the sum of its proper divisors (17803812658680).

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

6768416102400 is a wasteful number, since it uses less digits than its factorization.

6768416102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201322 (or 201294 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 6768416102400 in words is "six trillion, seven hundred sixty-eight billion, four hundred sixteen million, one hundred two thousand, four hundred".