21242666632 has 64 divisors (see below), whose sum is σ = 43956043200. Its totient is φ = 9543840000.

The previous prime is 21242666617. The next prime is 21242666633. The reversal of 21242666632 is 23666624212.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21242666633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6299907 + ... + 6303277.

It is an arithmetic number, because the mean of its divisors is an integer number (686813175).

Almost surely, 2^21242666632 is an apocalyptic number.

21242666632 is a gapful number since it is divisible by the number (22) 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 21242666632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21978021600).

21242666632 is an abundant number, since it is smaller than the sum of its proper divisors (22713376568).

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

21242666632 is a wasteful number, since it uses less digits than its factorization.

21242666632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4194 counting only the distinct ones).

The product of its digits is 248832, while the sum is 40.

The spelling of 21242666632 in words is "twenty-one billion, two hundred forty-two million, six hundred sixty-six thousand, six hundred thirty-two".