6343478064 has 420 divisors, whose sum is σ = 23407731720. Its totient is φ = 1646023680.

The previous prime is 6343478051. The next prime is 6343478069. The reversal of 6343478064 is 4608743436.

6343478064 is a `hidden beast` number, since 634 + 3 + 4 + 7 + 8 + 0 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (6343478069) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6286392 + ... + 6287400.

Almost surely, 2^6343478064 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 6343478064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11703865860).

6343478064 is an abundant number, since it is smaller than the sum of its proper divisors (17064253656).

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

6343478064 is a wasteful number, since it uses less digits than its factorization.

6343478064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 6343478064 is about 79645.9544735324. The cubic root of 6343478064 is about 1851.1537058882.

It can be divided in two parts, 634347 and 8064, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 6343478064 in words is "six billion, three hundred forty-three million, four hundred seventy-eight thousand, sixty-four".