63775952640 has 504 divisors, whose sum is σ = 234767323728. Its totient is φ = 16582164480.

The previous prime is 63775952629. The next prime is 63775952657. The reversal of 63775952640 is 4625957736.

63775952640 is a `hidden beast` number, since 6 + 3 + 7 + 7 + 595 + 2 + 6 + 40 = 666.

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

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 55 ways as a sum of consecutive naturals, for example, 38257087 + ... + 38258753.

It is an arithmetic number, because the mean of its divisors is an integer number (465808182).

Almost surely, 2^63775952640 is an apocalyptic number.

63775952640 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 63775952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117383661864).

63775952640 is an abundant number, since it is smaller than the sum of its proper divisors (170991371088).

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

63775952640 is an equidigital number, since it uses as much as digits as its factorization.

63775952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 63775952640 in words is "sixty-three billion, seven hundred seventy-five million, nine hundred fifty-two thousand, six hundred forty".