63746819136 has 1512 divisors, whose sum is σ = 272001853760. Its totient is φ = 13849989120.

The previous prime is 63746819131. The next prime is 63746819153. The reversal of 63746819136 is 63191864736.

It is a happy number.

63746819136 is a `hidden beast` number, since 6 + 37 + 468 + 19 + 136 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (63746819131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2771600821 + ... + 2771600843.

Almost surely, 2^63746819136 is an apocalyptic number.

63746819136 is a gapful number since it is divisible by the number (66) 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 63746819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136000926880).

63746819136 is an abundant number, since it is smaller than the sum of its proper divisors (208255034624).

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

63746819136 is a wasteful number, since it uses less digits than its factorization.

63746819136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 63746819136 in words is "sixty-three billion, seven hundred forty-six million, eight hundred nineteen thousand, one hundred thirty-six".