63253284864 has 768 divisors, whose sum is σ = 229456281600. Its totient is φ = 14996275200.

The previous prime is 63253284851. The next prime is 63253284881. The reversal of 63253284864 is 46848235236.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×63253284864³ (a number of 33 digits) contains 333 as substring.

Its product of digits (6635520) is a multiple of the sum of its prime factors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278648719 + ... + 278648945.

It is an arithmetic number, because the mean of its divisors is an integer number (298771200).

Almost surely, 2^63253284864 is an apocalyptic number.

63253284864 is a gapful number since it is divisible by the number (64) 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 63253284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114728140800).

63253284864 is an abundant number, since it is smaller than the sum of its proper divisors (166202996736).

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

63253284864 is a wasteful number, since it uses less digits than its factorization.

63253284864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 51.

The spelling of 63253284864 in words is "sixty-three billion, two hundred fifty-three million, two hundred eighty-four thousand, eight hundred sixty-four".