6341787648 has 208 divisors, whose sum is σ = 21474836160. Its totient is φ = 1811939328.

The previous prime is 6341787637. The next prime is 6341787659. The reversal of 6341787648 is 8467871436.

It is an interprime number because it is at equal distance from previous prime (6341787637) and next prime (6341787659).

It is a super-3 number, since 3×6341787648³ (a number of 30 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5419008) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 6341787594 and 6341787603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905969661 + ... + 905969667.

Almost surely, 2^6341787648 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 6341787648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10737418080).

6341787648 is an abundant number, since it is smaller than the sum of its proper divisors (15133048512).

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

6341787648 is an frugal number, since it uses more digits than its factorization.

6341787648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 12 counting only the distinct ones).

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

The square root of 6341787648 is about 79635.3417020358. The cubic root of 6341787648 is about 1850.9892588866.

The spelling of 6341787648 in words is "six billion, three hundred forty-one million, seven hundred eighty-seven thousand, six hundred forty-eight".