6396472252800 has 576 divisors, whose sum is σ = 26414912908800. Its totient is φ = 1443540234240.

The previous prime is 6396472252787. The next prime is 6396472252811. The reversal of 6396472252800 is 82522746936.

6396472252800 is a `hidden beast` number, since 6 + 3 + 96 + 4 + 7 + 22 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15725587 + ... + 16127213.

It is an arithmetic number, because the mean of its divisors is an integer number (45859223800).

Almost surely, 2^{6396472252800} is an apocalyptic number.

6396472252800 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 6396472252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13207456454400).

6396472252800 is an abundant number, since it is smaller than the sum of its proper divisors (20018440656000).

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

6396472252800 is a wasteful number, since it uses less digits than its factorization.

6396472252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401743 (or 401723 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6396472252800 in words is "six trillion, three hundred ninety-six billion, four hundred seventy-two million, two hundred fifty-two thousand, eight hundred".