6341736960 has 480 divisors, whose sum is σ = 24451435008. Its totient is φ = 1508474880.

The previous prime is 6341736959. The next prime is 6341736983. The reversal of 6341736960 is 696371436.

6341736960 is a `hidden beast` number, since 634 + 1 + 7 + 3 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9284779 + ... + 9285461.

Almost surely, 2^6341736960 is an apocalyptic number.

6341736960 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 6341736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225717504).

6341736960 is an abundant number, since it is smaller than the sum of its proper divisors (18109698048).

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

6341736960 is a wasteful number, since it uses less digits than its factorization.

6341736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 6341736960 is about 79635.0234507406. The cubic root of 6341736960 is about 1850.9843274068.

The spelling of 6341736960 in words is "six billion, three hundred forty-one million, seven hundred thirty-six thousand, nine hundred sixty".