6512368896 has 432 divisors, whose sum is σ = 21999065088. Its totient is φ = 1903564800.

The previous prime is 6512368859. The next prime is 6512368897. The reversal of 6512368896 is 6988632156.

It is a happy number.

6512368896 is a `hidden beast` number, since 6 + 512 + 36 + 8 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6512368897) 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, 21212775 + ... + 21213081.

Almost surely, 2^6512368896 is an apocalyptic number.

6512368896 is a gapful number since it is divisible by the number (66) 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 6512368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999532544).

6512368896 is an abundant number, since it is smaller than the sum of its proper divisors (15486696192).

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

6512368896 is a wasteful number, since it uses less digits than its factorization.

6512368896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 354 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 6512368896 is about 80699.2496619392. The cubic root of 6512368896 is about 1867.4385986489.

The spelling of 6512368896 in words is "six billion, five hundred twelve million, three hundred sixty-eight thousand, eight hundred ninety-six".