63259670144 has 192 divisors, whose sum is σ = 145970959680. Its totient is φ = 27064934400.

The previous prime is 63259670119. The next prime is 63259670191. The reversal of 63259670144 is 44107695236.

63259670144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48548597 + ... + 48549899.

It is an arithmetic number, because the mean of its divisors is an integer number (760265415).

Almost surely, 2^63259670144 is an apocalyptic number.

63259670144 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 63259670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72985479840).

63259670144 is an abundant number, since it is smaller than the sum of its proper divisors (82711289536).

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

63259670144 is a wasteful number, since it uses less digits than its factorization.

63259670144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 63259670144 in words is "sixty-three billion, two hundred fifty-nine million, six hundred seventy thousand, one hundred forty-four".