6354334536 has 128 divisors (see below), whose sum is σ = 17970422400. Its totient is φ = 1854720000.

The previous prime is 6354334531. The next prime is 6354334561.

It is a happy number.

6354334536 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6354334531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4600566 + ... + 4601946.

It is an arithmetic number, because the mean of its divisors is an integer number (140393925).

Almost surely, 2^6354334536 is an apocalyptic number.

6354334536 is a gapful number since it is divisible by the number (66) 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 6354334536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985211200).

6354334536 is an abundant number, since it is smaller than the sum of its proper divisors (11616087864).

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

6354334536 is a wasteful number, since it uses less digits than its factorization.

6354334536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2027 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 42.

The square root of 6354334536 is about 79714.0799106406. The cubic root of 6354334536 is about 1852.2091491922.

The spelling of 6354334536 in words is "six billion, three hundred fifty-four million, three hundred thirty-four thousand, five hundred thirty-six".