6445489670400 has 432 divisors, whose sum is σ = 24570254778048. Its totient is φ = 1470627840000.

The previous prime is 6445489670387. The next prime is 6445489670449. The reversal of 6445489670400 is 40769845446.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2692800 + ... + 4488000.

It is an arithmetic number, because the mean of its divisors is an integer number (56875589764).

Almost surely, 2^{6445489670400} is an apocalyptic number.

6445489670400 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 6445489670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285127389024).

6445489670400 is an abundant number, since it is smaller than the sum of its proper divisors (18124765107648).

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

6445489670400 is a wasteful number, since it uses less digits than its factorization.

6445489670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795258 (or 1795239 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 6445489670400 in words is "six trillion, four hundred forty-five billion, four hundred eighty-nine million, six hundred seventy thousand, four hundred".