63424753920 has 864 divisors, whose sum is σ = 256410806400. Its totient is φ = 14817116160.

The previous prime is 63424753919. The next prime is 63424753927. The reversal of 63424753920 is 2935742436.

63424753920 is a `hidden beast` number, since 634 + 2 + 4 + 7 + 5 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (63424753927) 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, 121270779 + ... + 121271301.

Almost surely, 2^63424753920 is an apocalyptic number.

63424753920 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 63424753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128205403200).

63424753920 is an abundant number, since it is smaller than the sum of its proper divisors (192986052480).

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

63424753920 is a wasteful number, since it uses less digits than its factorization.

63424753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 63424753920 in words is "sixty-three billion, four hundred twenty-four million, seven hundred fifty-three thousand, nine hundred twenty".