6346552128 has 336 divisors, whose sum is σ = 20637057024. Its totient is φ = 1713761280.

The previous prime is 6346552117. The next prime is 6346552207. The reversal of 6346552128 is 8212556436.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 6346552128.

It is a congruent number.

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, 13707225 + ... + 13707687.

Almost surely, 2^6346552128 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 6346552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318528512).

6346552128 is an abundant number, since it is smaller than the sum of its proper divisors (14290504896).

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

6346552128 is a wasteful number, since it uses less digits than its factorization.

6346552128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 6346552128 is about 79665.2504420842. The cubic root of 6346552128 is about 1851.4526820406.

The spelling of 6346552128 in words is "six billion, three hundred forty-six million, five hundred fifty-two thousand, one hundred twenty-eight".