63825485760 has 672 divisors, whose sum is σ = 240285007872. Its totient is φ = 16094453760.

The previous prime is 63825485753. The next prime is 63825485761. The reversal of 63825485760 is 6758452836.

63825485760 is a `hidden beast` number, since 6 + 3 + 8 + 25 + 48 + 576 + 0 = 666.

It is a super-3 number, since 3×63825485760³ (a number of 33 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 63825485697 and 63825485706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63825485761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227136820 + ... + 227137100.

It is an arithmetic number, because the mean of its divisors is an integer number (357566976).

Almost surely, 2^63825485760 is an apocalyptic number.

63825485760 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 63825485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120142503936).

63825485760 is an abundant number, since it is smaller than the sum of its proper divisors (176459522112).

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

63825485760 is a wasteful number, since it uses less digits than its factorization.

63825485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 63825485760 in words is "sixty-three billion, eight hundred twenty-five million, four hundred eighty-five thousand, seven hundred sixty".