29622216960 has 648 divisors, whose sum is σ = 120674559096. Its totient is φ = 6688604160.

The previous prime is 29622216929. The next prime is 29622216961. The reversal of 29622216960 is 6961222692.

29622216960 is a `hidden beast` number, since 2 + 9 + 622 + 2 + 16 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1735888896 + 27886328064 = 41664^2 + 166992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (29622216961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54754290 + ... + 54754830.

Almost surely, 2^29622216960 is an apocalyptic number.

29622216960 is a gapful number since it is divisible by the number (20) 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 29622216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60337279548).

29622216960 is an abundant number, since it is smaller than the sum of its proper divisors (91052342136).

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

29622216960 is a wasteful number, since it uses less digits than its factorization.

29622216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 29622216960 in words is "twenty-nine billion, six hundred twenty-two million, two hundred sixteen thousand, nine hundred sixty".