6364225346400 has 216 divisors, whose sum is σ = 22447436553360. Its totient is φ = 1696704261120.

The previous prime is 6364225346393. The next prime is 6364225346429. The reversal of 6364225346400 is 46435224636.

6364225346400 is a `hidden beast` number, since 6 + 36 + 4 + 22 + 534 + 64 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 29361621 + ... + 29577579.

Almost surely, 2^{6364225346400} is an apocalyptic number.

6364225346400 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 6364225346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223718276680).

6364225346400 is an abundant number, since it is smaller than the sum of its proper divisors (16083211206960).

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

6364225346400 is a wasteful number, since it uses less digits than its factorization.

6364225346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220078 (or 220062 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 6364225346400 in words is "six trillion, three hundred sixty-four billion, two hundred twenty-five million, three hundred forty-six thousand, four hundred".