6328829263680 has 1344 divisors, whose sum is σ = 28107705024000. Its totient is φ = 1312227164160.

The previous prime is 6328829263529. The next prime is 6328829263717. The reversal of 6328829263680 is 863629288236.

6328829263680 is a `hidden beast` number, since 6 + 3 + 288 + 292 + 6 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5920326186 + ... + 5920327254.

It is an arithmetic number, because the mean of its divisors is an integer number (20913471000).

Almost surely, 2^{6328829263680} is an apocalyptic number.

6328829263680 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 6328829263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14053852512000).

6328829263680 is an abundant number, since it is smaller than the sum of its proper divisors (21778875760320).

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

6328829263680 is a wasteful number, since it uses less digits than its factorization.

6328829263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 6328829263680 in words is "six trillion, three hundred twenty-eight billion, eight hundred twenty-nine million, two hundred sixty-three thousand, six hundred eighty".