623673472900 has 81 divisors (see below), whose sum is σ = 1365003456453. Its totient is φ = 247343436000.

The previous prime is 623673472889. The next prime is 623673472907. The reversal of 623673472900 is 9274376326.

It is a happy number.

The square root of 623673472900 is 789730.

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

It can be written as a sum of positive squares in only one way, i.e., 224522450244 + 399151022656 = 473838^2 + 631784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (623673472907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1192492039 + ... + 1192492561.

Almost surely, 2^623673472900 is an apocalyptic number.

623673472900 is the 789730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 623673472900

623673472900 is an abundant number, since it is smaller than the sum of its proper divisors (741329983553).

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

623673472900 is an equidigital number, since it uses as much as digits as its factorization.

623673472900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 49.

Multiplying 623673472900 by its sum of digits (49), we get a square (30560000172100 = 5528110²).

The spelling of 623673472900 in words is "six hundred twenty-three billion, six hundred seventy-three million, four hundred seventy-two thousand, nine hundred".