6374436516 has 144 divisors (see below), whose sum is σ = 19181111040. Its totient is φ = 1746904320.

The previous prime is 6374436503. The next prime is 6374436517. The reversal of 6374436516 is 6156344736.

6374436516 is a `hidden beast` number, since 63 + 7 + 44 + 36 + 516 = 666.

It is not an unprimeable number, because it can be changed into a prime (6374436517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657190 + ... + 666818.

It is an arithmetic number, because the mean of its divisors is an integer number (133202160).

Almost surely, 2^6374436516 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 6374436516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9590555520).

6374436516 is an abundant number, since it is smaller than the sum of its proper divisors (12806674524).

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

6374436516 is a wasteful number, since it uses less digits than its factorization.

6374436516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754 (or 9749 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 6374436516 is about 79840.0683616942. The cubic root of 6374436516 is about 1854.1602518903.

The spelling of 6374436516 in words is "six billion, three hundred seventy-four million, four hundred thirty-six thousand, five hundred sixteen".