6510400512 has 352 divisors, whose sum is σ = 22921159680. Its totient is φ = 1590558720.

The previous prime is 6510400499. The next prime is 6510400517. The reversal of 6510400512 is 2150040156.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6510400517) 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, 4020439 + ... + 4022057.

Almost surely, 2^6510400512 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 6510400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11460579840).

6510400512 is an abundant number, since it is smaller than the sum of its proper divisors (16410759168).

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

6510400512 is a wasteful number, since it uses less digits than its factorization.

6510400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 6510400512 is about 80687.0529391178. The cubic root of 6510400512 is about 1867.2504332914.

Adding to 6510400512 its reverse (2150040156), we get a palindrome (8660440668).

The spelling of 6510400512 in words is "six billion, five hundred ten million, four hundred thousand, five hundred twelve".