63945573120 has 1440 divisors, whose sum is σ = 284204954880. Its totient is φ = 13496647680.

The previous prime is 63945573103. The next prime is 63945573157. The reversal of 63945573120 is 2137554936.

63945573120 is a `hidden beast` number, since 6 + 3 + 9 + 455 + 73 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 281698447 + ... + 281698673.

It is an arithmetic number, because the mean of its divisors is an integer number (197364552).

Almost surely, 2^63945573120 is an apocalyptic number.

63945573120 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 63945573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142102477440).

63945573120 is an abundant number, since it is smaller than the sum of its proper divisors (220259381760).

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

63945573120 is a wasteful number, since it uses less digits than its factorization.

63945573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 63945573120 in words is "sixty-three billion, nine hundred forty-five million, five hundred seventy-three thousand, one hundred twenty".