47635681632 has 288 divisors, whose sum is σ = 160868985984. Its totient is φ = 12202444800.

The previous prime is 47635681631. The next prime is 47635681637. The reversal of 47635681632 is 23618653674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47635681631) 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 47 ways as a sum of consecutive naturals, for example, 3771007 + ... + 3783617.

It is an arithmetic number, because the mean of its divisors is an integer number (558572868).

Almost surely, 2^47635681632 is an apocalyptic number.

47635681632 is a gapful number since it is divisible by the number (42) 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 47635681632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80434492992).

47635681632 is an abundant number, since it is smaller than the sum of its proper divisors (113233304352).

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

47635681632 is a wasteful number, since it uses less digits than its factorization.

47635681632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12722 (or 12707 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The spelling of 47635681632 in words is "forty-seven billion, six hundred thirty-five million, six hundred eighty-one thousand, six hundred thirty-two".