6512652720 has 840 divisors, whose sum is σ = 27533054736. Its totient is φ = 1426553856.

The previous prime is 6512652709. The next prime is 6512652721. The reversal of 6512652720 is 272562156.

6512652720 is a `hidden beast` number, since 6 + 5 + 126 + 527 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6512652721) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 122880214 + ... + 122880266.

Almost surely, 2^6512652720 is an apocalyptic number.

6512652720 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 6512652720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766527368).

6512652720 is an abundant number, since it is smaller than the sum of its proper divisors (21020402016).

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

6512652720 is a wasteful number, since it uses less digits than its factorization.

6512652720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 6512652720 is about 80701.0081721412. The cubic root of 6512652720 is about 1867.4657273432.

The spelling of 6512652720 in words is "six billion, five hundred twelve million, six hundred fifty-two thousand, seven hundred twenty".