6400522867200 has 2880 divisors, whose sum is σ = 27987488686080. Its totient is φ = 1260955238400.

The previous prime is 6400522867133. The next prime is 6400522867213. The reversal of 6400522867200 is 27682250046.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 81019276761 + ... + 81019276839.

It is an arithmetic number, because the mean of its divisors is an integer number (9717878016).

Almost surely, 2^{6400522867200} is an apocalyptic number.

6400522867200 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 6400522867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13993744343040).

6400522867200 is an abundant number, since it is smaller than the sum of its proper divisors (21586965818880).

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

6400522867200 is a wasteful number, since it uses less digits than its factorization.

6400522867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 6400522867200 in words is "six trillion, four hundred billion, five hundred twenty-two million, eight hundred sixty-seven thousand, two hundred".