6351564032 has 72 divisors (see below), whose sum is σ = 13986846720. Its totient is φ = 2854522880.

The previous prime is 6351564031. The next prime is 6351564097. The reversal of 6351564032 is 2304651536.

It is a junction number, because it is equal to n+sod(n) for n = 6351563983 and 6351564001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6351564031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237953 + ... + 263295.

It is an arithmetic number, because the mean of its divisors is an integer number (194261760).

Almost surely, 2^6351564032 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 6351564032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993423360).

6351564032 is an abundant number, since it is smaller than the sum of its proper divisors (7635282688).

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

6351564032 is a wasteful number, since it uses less digits than its factorization.

6351564032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25459 (or 25445 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 6351564032 is about 79696.7002579153. The cubic root of 6351564032 is about 1851.9399209566.

The spelling of 6351564032 in words is "six billion, three hundred fifty-one million, five hundred sixty-four thousand, thirty-two".