6341787648000 has 928 divisors, whose sum is σ = 26800595877120. Its totient is φ = 1449551462400.

The previous prime is 6341787647999. The next prime is 6341787648017. The reversal of 6341787648000 is 8467871436.

It is a super-3 number, since 3×6341787648000³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905969663997 + ... + 905969664003.

Almost surely, 2^{6341787648000} is an apocalyptic number.

6341787648000 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 6341787648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13400297938560).

6341787648000 is an abundant number, since it is smaller than the sum of its proper divisors (20458808229120).

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

6341787648000 is an frugal number, since it uses more digits than its factorization.

6341787648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 6341787648000 in words is "six trillion, three hundred forty-one billion, seven hundred eighty-seven million, six hundred forty-eight thousand".