63125504640 has 384 divisors, whose sum is σ = 244232651520. Its totient is φ = 14889000960.

The previous prime is 63125504593. The next prime is 63125504641. The reversal of 63125504640 is 4640552136.

63125504640 is a `hidden beast` number, since 6 + 3 + 1 + 2 + 5 + 5 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 63125504595 and 63125504604.

It is not an unprimeable number, because it can be changed into a prime (63125504641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2330857 + ... + 2357783.

It is an arithmetic number, because the mean of its divisors is an integer number (636022530).

Almost surely, 2^63125504640 is an apocalyptic number.

63125504640 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 63125504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122116325760).

63125504640 is an abundant number, since it is smaller than the sum of its proper divisors (181107146880).

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

63125504640 is a wasteful number, since it uses less digits than its factorization.

63125504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27000 (or 26985 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

It can be divided in two parts, 63125 and 504640, that added together give a palindrome (567765).

The spelling of 63125504640 in words is "sixty-three billion, one hundred twenty-five million, five hundred four thousand, six hundred forty".