706642054560 has 576 divisors, whose sum is σ = 2757503837088. Its totient is φ = 163244408832.

The previous prime is 706642054487. The next prime is 706642054589. The reversal of 706642054560 is 65450246607.

706642054560 is a `hidden beast` number, since 7 + 0 + 6 + 6 + 42 + 0 + 545 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1828075536 + 704813979024 = 42756^2 + 839532^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118700544 + ... + 118706496.

Almost surely, 2^706642054560 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 706642054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378751918544).

706642054560 is an abundant number, since it is smaller than the sum of its proper divisors (2050861782528).

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

706642054560 is a wasteful number, since it uses less digits than its factorization.

706642054560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6366 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 706642054560 in words is "seven hundred six billion, six hundred forty-two million, fifty-four thousand, five hundred sixty".