63293755104 has 144 divisors (see below), whose sum is σ = 189445471488. Its totient is φ = 20782852992.

The previous prime is 63293755097. The next prime is 63293755153. The reversal of 63293755104 is 40155739236.

63293755104 is a `hidden beast` number, since 6 + 3 + 2 + 93 + 7 + 551 + 0 + 4 = 666.

63293755104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 63293755104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460249 + ... + 581735.

It is an arithmetic number, because the mean of its divisors is an integer number (1315593552).

Almost surely, 2^63293755104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63293755104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94722735744).

63293755104 is an abundant number, since it is smaller than the sum of its proper divisors (126151716384).

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

63293755104 is a wasteful number, since it uses less digits than its factorization.

63293755104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121579 (or 121559 counting only the distinct ones).

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

The spelling of 63293755104 in words is "sixty-three billion, two hundred ninety-three million, seven hundred fifty-five thousand, one hundred four".