705348136080 has 1600 divisors, whose sum is σ = 3059375616000. Its totient is φ = 150214901760.

The previous prime is 705348136067. The next prime is 705348136121. The reversal of 705348136080 is 80631843507.

705348136080 is a `hidden beast` number, since 7 + 0 + 5 + 34 + 8 + 1 + 3 + 608 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 1998153184 + ... + 1998153536.

It is an arithmetic number, because the mean of its divisors is an integer number (1912109760).

Almost surely, 2^705348136080 is an apocalyptic number.

705348136080 is a gapful number since it is divisible by the number (70) 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 705348136080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529687808000).

705348136080 is an abundant number, since it is smaller than the sum of its proper divisors (2354027479920).

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

705348136080 is a wasteful number, since it uses less digits than its factorization.

705348136080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 705348136080 its reverse (80631843507), we get a palindrome (785979979587).

The spelling of 705348136080 in words is "seven hundred five billion, three hundred forty-eight million, one hundred thirty-six thousand, eighty".