6512675904 has 336 divisors, whose sum is σ = 22645908480. Its totient is φ = 1748044800.

The previous prime is 6512675891. The next prime is 6512675909. The reversal of 6512675904 is 4095762156.

6512675904 is a `hidden beast` number, since 6 + 51 + 2 + 6 + 7 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 6512675904.

It is not an unprimeable number, because it can be changed into a prime (6512675909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11567527 + ... + 11568089.

Almost surely, 2^6512675904 is an apocalyptic number.

6512675904 is a gapful number since it is divisible by the number (64) 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 6512675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322954240).

6512675904 is an abundant number, since it is smaller than the sum of its proper divisors (16133232576).

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

6512675904 is a wasteful number, since it uses less digits than its factorization.

6512675904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 6512675904 is about 80701.1518133415. The cubic root of 6512675904 is about 1867.4679433001.

The spelling of 6512675904 in words is "six billion, five hundred twelve million, six hundred seventy-five thousand, nine hundred four".