705421516800 has 2688 divisors, whose sum is σ = 3320075501568. Its totient is φ = 127401984000.

The previous prime is 705421516757. The next prime is 705421516801. The reversal of 705421516800 is 8615124507.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705421516801) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 19065446382 + ... + 19065446418.

It is an arithmetic number, because the mean of its divisors is an integer number (1235147136).

Almost surely, 2^705421516800 is an apocalyptic number.

705421516800 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 705421516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660037750784).

705421516800 is an abundant number, since it is smaller than the sum of its proper divisors (2614653984768).

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

705421516800 is a wasteful number, since it uses less digits than its factorization.

705421516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

It can be divided in two parts, 705421 and 516800, that added together give a palindrome (1222221).

The spelling of 705421516800 in words is "seven hundred five billion, four hundred twenty-one million, five hundred sixteen thousand, eight hundred".