6760193126400 has 2184 divisors, whose sum is σ = 30453432132384. Its totient is φ = 1452382617600.

The previous prime is 6760193126377. The next prime is 6760193126441. The reversal of 6760193126400 is 46213910676.

6760193126400 is a `hidden beast` number, since 6 + 7 + 601 + 9 + 31 + 2 + 6 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×6760193126400² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8883302020 + ... + 8883302780.

Almost surely, 2^{6760193126400} is an apocalyptic number.

6760193126400 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 6760193126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226716066192).

6760193126400 is an abundant number, since it is smaller than the sum of its proper divisors (23693239005984).

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

6760193126400 is an equidigital number, since it uses as much as digits as its factorization.

6760193126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 6760193126400 in words is "six trillion, seven hundred sixty billion, one hundred ninety-three million, one hundred twenty-six thousand, four hundred".