63742848000 has 528 divisors, whose sum is σ = 230381432736. Its totient is φ = 15551692800.

The previous prime is 63742847999. The next prime is 63742848017. The reversal of 63742848000 is 84824736.

63742848000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63742848000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564095944 + ... + 564096056.

Almost surely, 2^63742848000 is an apocalyptic number.

63742848000 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 63742848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115190716368).

63742848000 is an abundant number, since it is smaller than the sum of its proper divisors (166638584736).

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

63742848000 is a wasteful number, since it uses less digits than its factorization.

63742848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 63742848000 in words is "sixty-three billion, seven hundred forty-two million, eight hundred forty-eight thousand".