652344422400 has 936 divisors, whose sum is σ = 2569213305360. Its totient is φ = 156893184000.

The previous prime is 652344422393. The next prime is 652344422417. The reversal of 652344422400 is 4224443256.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2321510260 + ... + 2321510540.

It is an arithmetic number, because the mean of its divisors is an integer number (2744886010).

Almost surely, 2^652344422400 is an apocalyptic number.

652344422400 is a gapful number since it is divisible by the number (60) 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 652344422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284606652680).

652344422400 is an abundant number, since it is smaller than the sum of its proper divisors (1916868882960).

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

652344422400 is a wasteful number, since it uses less digits than its factorization.

652344422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 652344422400 its reverse (4224443256), we get a palindrome (656568865656).

The spelling of 652344422400 in words is "six hundred fifty-two billion, three hundred forty-four million, four hundred twenty-two thousand, four hundred".