6443264505600 has 1296 divisors, whose sum is σ = 25345574654400. Its totient is φ = 1552074670080.

The previous prime is 6443264505589. The next prime is 6443264505697. The reversal of 6443264505600 is 65054623446.

It is a happy number.

6443264505600 is a `hidden beast` number, since 6 + 4 + 4 + 32 + 6 + 4 + 5 + 0 + 5 + 600 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7264108357 + ... + 7264109243.

Almost surely, 2^{6443264505600} is an apocalyptic number.

6443264505600 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 6443264505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672787327200).

6443264505600 is an abundant number, since it is smaller than the sum of its proper divisors (18902310148800).

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

6443264505600 is a wasteful number, since it uses less digits than its factorization.

6443264505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 6443264505600 in words is "six trillion, four hundred forty-three billion, two hundred sixty-four million, five hundred five thousand, six hundred".