63354534335040 has 224 divisors, whose sum is σ = 216827603870976. Its totient is φ = 15580288327680.

The previous prime is 63354534335023. The next prime is 63354534335041. The reversal of 63354534335040 is 4053343545336.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (63354534335041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10878430 + ... + 15654050.

It is an arithmetic number, because the mean of its divisors is an integer number (967980374424).

Almost surely, 2^{63354534335040} is an apocalyptic number.

63354534335040 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 63354534335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108413801935488).

63354534335040 is an abundant number, since it is smaller than the sum of its proper divisors (153473069535936).

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

63354534335040 is a wasteful number, since it uses less digits than its factorization.

63354534335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776717 (or 4776707 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 48.

The spelling of 63354534335040 in words is "sixty-three trillion, three hundred fifty-four billion, five hundred thirty-four million, three hundred thirty-five thousand, forty".