29222000640 has 720 divisors, whose sum is σ = 122010688800. Its totient is φ = 6670024704.

The previous prime is 29222000629. The next prime is 29222000657. The reversal of 29222000640 is 4600022292.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 40642201 + ... + 40642919.

It is an arithmetic number, because the mean of its divisors is an integer number (169459290).

Almost surely, 2^29222000640 is an apocalyptic number.

29222000640 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 29222000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61005344400).

29222000640 is an abundant number, since it is smaller than the sum of its proper divisors (92788688160).

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

29222000640 is an equidigital number, since it uses as much as digits as its factorization.

29222000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 29222000640 in words is "twenty-nine billion, two hundred twenty-two million, six hundred forty", and thus it is an aban number.