6725194560 has 896 divisors, whose sum is σ = 29775790080. Its totient is φ = 1393459200.

The previous prime is 6725194547. The next prime is 6725194583. The reversal of 6725194560 is 654915276.

6725194560 is a `hidden beast` number, since 6 + 72 + 5 + 19 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 31872855 + ... + 31873065.

Almost surely, 2^6725194560 is an apocalyptic number.

6725194560 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 6725194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14887895040).

6725194560 is an abundant number, since it is smaller than the sum of its proper divisors (23050595520).

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

6725194560 is a wasteful number, since it uses less digits than its factorization.

6725194560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

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

The square root of 6725194560 is about 82007.2835789602. The cubic root of 6725194560 is about 1887.5637038862.

The spelling of 6725194560 in words is "six billion, seven hundred twenty-five million, one hundred ninety-four thousand, five hundred sixty".