6760401912000 has 1232 divisors, whose sum is σ = 27417124504224. Its totient is φ = 1637625600000.

The previous prime is 6760401911959. The next prime is 6760401912001. The reversal of 6760401912000 is 2191040676.

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

It is not an unprimeable number, because it can be changed into a prime (6760401912001) by changing a digit.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 5196311350 + ... + 5196312650.

Almost surely, 2^{6760401912000} is an apocalyptic number.

6760401912000 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 6760401912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708562252112).

6760401912000 is an abundant number, since it is smaller than the sum of its proper divisors (20656722592224).

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

6760401912000 is an equidigital number, since it uses as much as digits as its factorization.

6760401912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 6760401912000 its reverse (2191040676), we get a palindrome (6762592952676).

The spelling of 6760401912000 in words is "six trillion, seven hundred sixty billion, four hundred one million, nine hundred twelve thousand".