63800536246272 has 1728 divisors, whose sum is σ = 226963376640000. Its totient is φ = 17919272189952.

The previous prime is 63800536246253. The next prime is 63800536246339. The reversal of 63800536246272 is 27264263500836.

63800536246272 is a `hidden beast` number, since 6 + 3 + 8 + 0 + 0 + 5 + 3 + 6 + 2 + 4 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 502366427073 + ... + 502366427199.

Almost surely, 2^{63800536246272} 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 63800536246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113481688320000).

63800536246272 is an abundant number, since it is smaller than the sum of its proper divisors (163162840393728).

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

63800536246272 is an frugal number, since it uses more digits than its factorization.

63800536246272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 63800536246272 in words is "sixty-three trillion, eight hundred billion, five hundred thirty-six million, two hundred forty-six thousand, two hundred seventy-two".