6510632960 has 112 divisors (see below), whose sum is σ = 16827831216. Its totient is φ = 2403729408.

The previous prime is 6510632917. The next prime is 6510632971. The reversal of 6510632960 is 692360156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526367 + ... + 538593.

It is an arithmetic number, because the mean of its divisors is an integer number (150248493).

Almost surely, 2^6510632960 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 6510632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8413915608).

6510632960 is an abundant number, since it is smaller than the sum of its proper divisors (10317198256).

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

6510632960 is a wasteful number, since it uses less digits than its factorization.

6510632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12271 (or 12247 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 6510632960 is about 80688.4933556204. The cubic root of 6510632960 is about 1867.2726558599.

The spelling of 6510632960 in words is "six billion, five hundred ten million, six hundred thirty-two thousand, nine hundred sixty".