21907626468 has 192 divisors, whose sum is σ = 68363796480. Its totient is φ = 5297011200.

The previous prime is 21907626463. The next prime is 21907626539. The reversal of 21907626468 is 86462670912.

It is a super-2 number, since 2×21907626468² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21907626468.

It is not an unprimeable number, because it can be changed into a prime (21907626463) 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 63 ways as a sum of consecutive naturals, for example, 626158 + ... + 660218.

It is an arithmetic number, because the mean of its divisors is an integer number (356061440).

Almost surely, 2^21907626468 is an apocalyptic number.

21907626468 is a gapful number since it is divisible by the number (28) 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 21907626468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34181898240).

21907626468 is an abundant number, since it is smaller than the sum of its proper divisors (46456170012).

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

21907626468 is a wasteful number, since it uses less digits than its factorization.

21907626468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34138 (or 34136 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 21907626468 in words is "twenty-one billion, nine hundred seven million, six hundred twenty-six thousand, four hundred sixty-eight".