6712455456 has 144 divisors (see below), whose sum is σ = 21840331968. Its totient is φ = 1915660800.

The previous prime is 6712455437. The next prime is 6712455467. The reversal of 6712455456 is 6545542176.

6712455456 is a `hidden beast` number, since 6 + 71 + 24 + 554 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2782891 + ... + 2785301.

It is an arithmetic number, because the mean of its divisors is an integer number (151668972).

Almost surely, 2^6712455456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6712455456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10920165984).

6712455456 is an abundant number, since it is smaller than the sum of its proper divisors (15127876512).

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

6712455456 is a wasteful number, since it uses less digits than its factorization.

6712455456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3804 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 6712455456 is about 81929.5761980983. The cubic root of 6712455456 is about 1886.3711203378.

The spelling of 6712455456 in words is "six billion, seven hundred twelve million, four hundred fifty-five thousand, four hundred fifty-six".