6780132615168 has 1760 divisors, whose sum is σ = 24652980633600. Its totient is φ = 1831934361600.

The previous prime is 6780132615121. The next prime is 6780132615187. The reversal of 6780132615168 is 8615162310876.

It is a happy number.

6780132615168 is a `hidden beast` number, since 6 + 7 + 8 + 0 + 1 + 3 + 2 + 615 + 16 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28368755593 + ... + 28368755831.

It is an arithmetic number, because the mean of its divisors is an integer number (14007375360).

Almost surely, 2^{6780132615168} is an apocalyptic number.

6780132615168 is a gapful number since it is divisible by the number (68) 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 6780132615168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12326490316800).

6780132615168 is an abundant number, since it is smaller than the sum of its proper divisors (17872848018432).

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

6780132615168 is a wasteful number, since it uses less digits than its factorization.

6780132615168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 6780132615168 in words is "six trillion, seven hundred eighty billion, one hundred thirty-two million, six hundred fifteen thousand, one hundred sixty-eight".