63162609120 has 432 divisors, whose sum is σ = 239920271136. Its totient is φ = 15041894400.

The previous prime is 63162609109. The next prime is 63162609127. The reversal of 63162609120 is 2190626136.

It is a happy number.

63162609120 is a `hidden beast` number, since 6 + 3 + 1 + 626 + 0 + 9 + 1 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63162609127) 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 71 ways as a sum of consecutive naturals, for example, 17988165 + ... + 17991675.

It is an arithmetic number, because the mean of its divisors is an integer number (555370998).

Almost surely, 2^63162609120 is an apocalyptic number.

63162609120 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 63162609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119960135568).

63162609120 is an abundant number, since it is smaller than the sum of its proper divisors (176757662016).

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

63162609120 is a wasteful number, since it uses less digits than its factorization.

63162609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 63162609120 in words is "sixty-three billion, one hundred sixty-two million, six hundred nine thousand, one hundred twenty".