6725420064 has 288 divisors, whose sum is σ = 22506664320. Its totient is φ = 1948700160.

The previous prime is 6725420057. The next prime is 6725420069. The reversal of 6725420064 is 4600245276.

It is a tau number, because it is divible by the number of its divisors (288).

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 (6725420069) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2403114 + ... + 2405910.

It is an arithmetic number, because the mean of its divisors is an integer number (78148140).

Almost surely, 2^6725420064 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 6725420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253332160).

6725420064 is an abundant number, since it is smaller than the sum of its proper divisors (15781244256).

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

6725420064 is a wasteful number, since it uses less digits than its factorization.

6725420064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6725420064 is about 82008.6584697006. The cubic root of 6725420064 is about 1887.5848010904.

The spelling of 6725420064 in words is "six billion, seven hundred twenty-five million, four hundred twenty thousand, sixty-four".