6760440340992 has 720 divisors, whose sum is σ = 22667445440640. Its totient is φ = 2008225529856.

The previous prime is 6760440340897. The next prime is 6760440341003. The reversal of 6760440340992 is 2990430440676.

6760440340992 is a `hidden beast` number, since 6 + 76 + 0 + 440 + 3 + 40 + 9 + 92 = 666.

It is a super-2 number, since 2×6760440340992² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 609757273 + ... + 609768359.

It is an arithmetic number, because the mean of its divisors is an integer number (31482563112).

Almost surely, 2^{6760440340992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6760440340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11333722720320).

6760440340992 is an abundant number, since it is smaller than the sum of its proper divisors (15907005099648).

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

6760440340992 is a wasteful number, since it uses less digits than its factorization.

6760440340992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11175 (or 11134 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 6760440340992 in words is "six trillion, seven hundred sixty billion, four hundred forty million, three hundred forty thousand, nine hundred ninety-two".