689597376400 has 45 divisors (see below), whose sum is σ = 1656797599443. Its totient is φ = 275832307200.

The previous prime is 689597376361. The next prime is 689597376407. The reversal of 689597376400 is 4673795986.

It is a happy number.

The square root of 689597376400 is 830420.

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 45006773904 + 644590602496 = 212148^2 + 802864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (689597376407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16587640 + ... + 16629160.

Almost surely, 2^689597376400 is an apocalyptic number.

689597376400 is the 830420-th square number.

It is an amenable number.

689597376400 is an abundant number, since it is smaller than the sum of its proper divisors (967200223043).

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

689597376400 is an frugal number, since it uses more digits than its factorization.

689597376400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83060 (or 41528 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

Multiplying 689597376400 by its sum of digits (64), we get a square (44134232089600 = 6643360²).

The spelling of 689597376400 in words is "six hundred eighty-nine billion, five hundred ninety-seven million, three hundred seventy-six thousand, four hundred".