63218115072 has 240 divisors, whose sum is σ = 212456312640. Its totient is φ = 17721040896.

The previous prime is 63218115053. The next prime is 63218115083. The reversal of 63218115072 is 27051181236.

63218115072 is a `hidden beast` number, since 632 + 1 + 8 + 1 + 15 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1691079 + ... + 1728057.

It is an arithmetic number, because the mean of its divisors is an integer number (885234636).

Almost surely, 2^63218115072 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 63218115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106228156320).

63218115072 is an abundant number, since it is smaller than the sum of its proper divisors (149238197568).

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

63218115072 is a wasteful number, since it uses less digits than its factorization.

63218115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37063 (or 37044 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 63218115072 in words is "sixty-three billion, two hundred eighteen million, one hundred fifteen thousand, seventy-two".