6516848520 has 960 divisors, whose sum is σ = 29067413760. Its totient is φ = 1272775680.

The previous prime is 6516848519. The next prime is 6516848549. The reversal of 6516848520 is 258486156.

6516848520 is a `hidden beast` number, since 6 + 5 + 168 + 485 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 210220905 + ... + 210220935.

It is an arithmetic number, because the mean of its divisors is an integer number (30278556).

Almost surely, 2^6516848520 is an apocalyptic number.

6516848520 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 6516848520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14533706880).

6516848520 is an abundant number, since it is smaller than the sum of its proper divisors (22550565240).

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

6516848520 is a wasteful number, since it uses less digits than its factorization.

6516848520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 6516848520 is about 80726.9999442566. Note that the first 4 decimals coincide. The cubic root of 6516848520 is about 1867.8666817597.

The spelling of 6516848520 in words is "six billion, five hundred sixteen million, eight hundred forty-eight thousand, five hundred twenty".