516440064 has 240 divisors, whose sum is σ = 1677670400. Its totient is φ = 138018816.

The previous prime is 516440063. The next prime is 516440081. The reversal of 516440064 is 460044615.

It is not an unprimeable number, because it can be changed into a prime (516440063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6537177 + ... + 6537255.

Almost surely, 2^516440064 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 516440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838835200).

516440064 is an abundant number, since it is smaller than the sum of its proper divisors (1161230336).

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

516440064 is an equidigital number, since it uses as much as digits as its factorization.

516440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 516440064 is about 22725.3176875484. The cubic root of 516440064 is about 802.3058805910.

Adding to 516440064 its reverse (460044615), we get a palindrome (976484679).

The spelling of 516440064 in words is "five hundred sixteen million, four hundred forty thousand, sixty-four".