6517344960 has 252 divisors, whose sum is σ = 26077426128. Its totient is φ = 1489646592.

The previous prime is 6517344959. The next prime is 6517344997. The reversal of 6517344960 is 694437156.

6517344960 is a `hidden beast` number, since 6 + 517 + 3 + 44 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118029 + ... + 164211.

Almost surely, 2^6517344960 is an apocalyptic number.

6517344960 is a gapful number since it is divisible by the number (60) 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 6517344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13038713064).

6517344960 is an abundant number, since it is smaller than the sum of its proper divisors (19560081168).

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

6517344960 is a wasteful number, since it uses less digits than its factorization.

6517344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46220 (or 46200 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6517344960 is about 80730.0746933880. The cubic root of 6517344960 is about 1867.9141106249.

The spelling of 6517344960 in words is "six billion, five hundred seventeen million, three hundred forty-four thousand, nine hundred sixty".