63825632640 has 512 divisors, whose sum is σ = 281833344000. Its totient is φ = 13262192640.

The previous prime is 63825632621. The next prime is 63825632743. The reversal of 63825632640 is 4623652836.

It is a happy number.

63825632640 is a `hidden beast` number, since 6 + 3 + 8 + 2 + 5 + 632 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×63825632640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1306576 + ... + 1354544.

It is an arithmetic number, because the mean of its divisors is an integer number (550455750).

Almost surely, 2^63825632640 is an apocalyptic number.

63825632640 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 63825632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140916672000).

63825632640 is an abundant number, since it is smaller than the sum of its proper divisors (218007711360).

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

63825632640 is a wasteful number, since it uses less digits than its factorization.

63825632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48015 (or 47997 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 63825632640 in words is "sixty-three billion, eight hundred twenty-five million, six hundred thirty-two thousand, six hundred forty".