6346009152 has 504 divisors, whose sum is σ = 23036442624. Its totient is φ = 1693052928.

The previous prime is 6346009127. The next prime is 6346009199. The reversal of 6346009152 is 2519006436.

It is a happy number.

6346009152 is a `hidden beast` number, since 6 + 34 + 600 + 9 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49968513 + ... + 49968639.

Almost surely, 2^6346009152 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 6346009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11518221312).

6346009152 is an abundant number, since it is smaller than the sum of its proper divisors (16690433472).

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

6346009152 is an equidigital number, since it uses as much as digits as its factorization.

6346009152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6346009152 is about 79661.8425094474. The cubic root of 6346009152 is about 1851.3998805078.

The spelling of 6346009152 in words is "six billion, three hundred forty-six million, nine thousand, one hundred fifty-two".