706641984400 has 135 divisors (see below), whose sum is σ = 1866563541619. Its totient is φ = 256893472000.

The previous prime is 706641984371. The next prime is 706641984439. The reversal of 706641984400 is 4489146607.

The square root of 706641984400 is 840620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 69301615504 + 637340368896 = 263252^2 + 798336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 184934490 + ... + 184938310.

Almost surely, 2^706641984400 is an apocalyptic number.

706641984400 is the 840620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706641984400

706641984400 is an abundant number, since it is smaller than the sum of its proper divisors (1159921557219).

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

706641984400 is an equidigital number, since it uses as much as digits as its factorization.

706641984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 706641984400 by its sum of digits (49), we get a square (34625457235600 = 5884340²).

The spelling of 706641984400 in words is "seven hundred six billion, six hundred forty-one million, nine hundred eighty-four thousand, four hundred".