705409008480 has 576 divisors, whose sum is σ = 2767910745600. Its totient is φ = 161793884160.

The previous prime is 705409008433. The next prime is 705409008589. The reversal of 705409008480 is 84800904507.

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

It is a congruent number.

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, 396965352 + ... + 396967128.

It is an arithmetic number, because the mean of its divisors is an integer number (4805400600).

Almost surely, 2^705409008480 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 705409008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383955372800).

705409008480 is an abundant number, since it is smaller than the sum of its proper divisors (2062501737120).

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

705409008480 is a wasteful number, since it uses less digits than its factorization.

705409008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 705409008480 in words is "seven hundred five billion, four hundred nine million, eight thousand, four hundred eighty".