6452213846400 has 3456 divisors, whose sum is σ = 29821085078400. Its totient is φ = 1357298933760.

The previous prime is 6452213846389. The next prime is 6452213846413. The reversal of 6452213846400 is 46483122546.

6452213846400 is a `hidden beast` number, since 6 + 4 + 5 + 221 + 384 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 96301699167 + ... + 96301699233.

Almost surely, 2^{6452213846400} is an apocalyptic number.

6452213846400 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 6452213846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14910542539200).

6452213846400 is an abundant number, since it is smaller than the sum of its proper divisors (23368871232000).

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

6452213846400 is a wasteful number, since it uses less digits than its factorization.

6452213846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 6452213846400 its reverse (46483122546), we get a palindrome (6498696968946).

The spelling of 6452213846400 in words is "six trillion, four hundred fifty-two billion, two hundred thirteen million, eight hundred forty-six thousand, four hundred".