6768972258048 has 3456 divisors, whose sum is σ = 29619254067200. Its totient is φ = 1478062080000.

The previous prime is 6768972258043. The next prime is 6768972258049. The reversal of 6768972258048 is 8408522798676.

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 (72).

It is not an unprimeable number, because it can be changed into a prime (6768972258043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44827630773 + ... + 44827630923.

Almost surely, 2^{6768972258048} 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 6768972258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809627033600).

6768972258048 is an abundant number, since it is smaller than the sum of its proper divisors (22850281809152).

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

6768972258048 is a wasteful number, since it uses less digits than its factorization.

6768972258048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 6768972258048 in words is "six trillion, seven hundred sixty-eight billion, nine hundred seventy-two million, two hundred fifty-eight thousand, forty-eight".