6705579465 has 192 divisors, whose sum is σ = 14054400000. Its totient is φ = 3020509440.

The previous prime is 6705579437. The next prime is 6705579497. The reversal of 6705579465 is 5649755076.

6705579465 is a `hidden beast` number, since 6 + 7 + 0 + 5 + 579 + 4 + 65 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-6705579465 is a prime.

It is a super-2 number, since 2×6705579465² = 89929591922859372450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13437786 + ... + 13438284.

It is an arithmetic number, because the mean of its divisors is an integer number (73200000).

Almost surely, 2^6705579465 is an apocalyptic number.

6705579465 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6705579465 is an abundant number, since it is smaller than the sum of its proper divisors (7348820535).

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

6705579465 is a wasteful number, since it uses less digits than its factorization.

6705579465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The square root of 6705579465 is about 81887.6026331215. The cubic root of 6705579465 is about 1885.7267906860.

The spelling of 6705579465 in words is "six billion, seven hundred five million, five hundred seventy-nine thousand, four hundred sixty-five".