63465625681920 has 2176 divisors, whose sum is σ = 286284229632000. Its totient is φ = 12955932426240.

The previous prime is 63465625681901. The next prime is 63465625681921. The reversal of 63465625681920 is 2918652656436.

63465625681920 is a `hidden beast` number, since 6 + 3 + 4 + 6 + 5 + 62 + 568 + 1 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (63465625681921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40193555691 + ... + 40193557269.

Almost surely, 2^{63465625681920} is an apocalyptic number.

63465625681920 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 63465625681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143142114816000).

63465625681920 is an abundant number, since it is smaller than the sum of its proper divisors (222818603950080).

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

63465625681920 is a wasteful number, since it uses less digits than its factorization.

63465625681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 63465625681920 in words is "sixty-three trillion, four hundred sixty-five billion, six hundred twenty-five million, six hundred eighty-one thousand, nine hundred twenty".