6768466790400 has 3456 divisors, whose sum is σ = 31229201203200. Its totient is φ = 1418939596800.

The previous prime is 6768466790381. The next prime is 6768466790401. The reversal of 6768466790400 is 40976648676.

6768466790400 is a `hidden beast` number, since 6 + 7 + 6 + 84 + 6 + 67 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6768466790401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 62096025546 + ... + 62096025654.

It is an arithmetic number, because the mean of its divisors is an integer number (9036227200).

Almost surely, 2^{6768466790400} is an apocalyptic number.

6768466790400 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 6768466790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15614600601600).

6768466790400 is an abundant number, since it is smaller than the sum of its proper divisors (24460734412800).

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

6768466790400 is a wasteful number, since it uses less digits than its factorization.

6768466790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 6768466790400 in words is "six trillion, seven hundred sixty-eight billion, four hundred sixty-six million, seven hundred ninety thousand, four hundred".