29550840064 has 72 divisors (see below), whose sum is σ = 60093109440. Its totient is φ = 14499072000.

The previous prime is 29550840047. The next prime is 29550840089. The reversal of 29550840064 is 46004805592.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29550840064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10586509 + ... + 10589299.

It is an arithmetic number, because the mean of its divisors is an integer number (834626520).

Almost surely, 2^29550840064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29550840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30046554720).

29550840064 is an abundant number, since it is smaller than the sum of its proper divisors (30542269376).

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

29550840064 is an equidigital number, since it uses as much as digits as its factorization.

29550840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 29550840064 in words is "twenty-nine billion, five hundred fifty million, eight hundred forty thousand, sixty-four".