705667848480 has 768 divisors, whose sum is σ = 3017953935360. Its totient is φ = 150322397184.

The previous prime is 705667848467. The next prime is 705667848503. The reversal of 705667848480 is 84848766507.

705667848480 is a `hidden beast` number, since 7 + 0 + 5 + 6 + 6 + 78 + 484 + 80 = 666.

It is a super-2 number, since 2×705667848480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52943577 + ... + 52956903.

It is an arithmetic number, because the mean of its divisors is an integer number (3929627520).

Almost surely, 2^705667848480 is an apocalyptic number.

705667848480 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 705667848480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508976967680).

705667848480 is an abundant number, since it is smaller than the sum of its proper divisors (2312286086880).

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

705667848480 is a wasteful number, since it uses less digits than its factorization.

705667848480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13478 (or 13464 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 705667848480 in words is "seven hundred five billion, six hundred sixty-seven million, eight hundred forty-eight thousand, four hundred eighty".