6463072000 has 576 divisors, whose sum is σ = 20876663808. Its totient is φ = 1935360000.

The previous prime is 6463071973. The next prime is 6463072001. The reversal of 6463072000 is 2703646.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 6463072000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6463072001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105951970 + ... + 105952030.

It is an arithmetic number, because the mean of its divisors is an integer number (36244208).

Almost surely, 2^6463072000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6463072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10438331904).

6463072000 is an abundant number, since it is smaller than the sum of its proper divisors (14413591808).

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

6463072000 is a wasteful number, since it uses less digits than its factorization.

6463072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 6463072000 is about 80393.2335461138. The cubic root of 6463072000 is about 1862.7146547788.

Adding to 6463072000 its reverse (2703646), we get a palindrome (6465775646).

The spelling of 6463072000 in words is "six billion, four hundred sixty-three million, seventy-two thousand".