63438574080 has 640 divisors, whose sum is σ = 246069964800. Its totient is φ = 13619625984.

The previous prime is 63438574051. The next prime is 63438574091. The reversal of 63438574080 is 8047583436.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 176708941 + ... + 176709299.

It is an arithmetic number, because the mean of its divisors is an integer number (384484320).

Almost surely, 2^63438574080 is an apocalyptic number.

63438574080 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 63438574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123034982400).

63438574080 is an abundant number, since it is smaller than the sum of its proper divisors (182631390720).

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

63438574080 is a wasteful number, since it uses less digits than its factorization.

63438574080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 63438574080 in words is "sixty-three billion, four hundred thirty-eight million, five hundred seventy-four thousand, eighty".