6723842676480 has 1152 divisors, whose sum is σ = 25904434832640. Its totient is φ = 1645184286720.

The previous prime is 6723842676461. The next prime is 6723842676511. The reversal of 6723842676480 is 846762483276.

It is a happy number.

6723842676480 is a `hidden beast` number, since 6 + 7 + 2 + 3 + 84 + 2 + 6 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5636078764 + ... + 5636079956.

It is an arithmetic number, because the mean of its divisors is an integer number (22486488570).

Almost surely, 2^{6723842676480} is an apocalyptic number.

6723842676480 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 6723842676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12952217416320).

6723842676480 is an abundant number, since it is smaller than the sum of its proper divisors (19180592156160).

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

6723842676480 is a wasteful number, since it uses less digits than its factorization.

6723842676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 6723842676480 in words is "six trillion, seven hundred twenty-three billion, eight hundred forty-two million, six hundred seventy-six thousand, four hundred eighty".