63627672636 has 192 divisors, whose sum is σ = 186738639360. Its totient is φ = 18565355520.

The previous prime is 63627672629. The next prime is 63627672649.

63627672636 is a `hidden beast` number, since 6 + 3 + 627 + 6 + 7 + 2 + 6 + 3 + 6 = 666.

63627672636 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4256271 + ... + 4271193.

It is an arithmetic number, because the mean of its divisors is an integer number (972597080).

Almost surely, 2^63627672636 is an apocalyptic number.

63627672636 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 63627672636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93369319680).

63627672636 is an abundant number, since it is smaller than the sum of its proper divisors (123110966724).

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

63627672636 is a wasteful number, since it uses less digits than its factorization.

63627672636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15081 (or 15073 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 54.

The spelling of 63627672636 in words is "sixty-three billion, six hundred twenty-seven million, six hundred seventy-two thousand, six hundred thirty-six".