29422024632 has 640 divisors, whose sum is σ = 112464253440. Its totient is φ = 6938680320.

The previous prime is 29422024601. The next prime is 29422024669. The reversal of 29422024632 is 23642022492.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43459078 + ... + 43459754.

It is an arithmetic number, because the mean of its divisors is an integer number (175725396).

Almost surely, 2^29422024632 is an apocalyptic number.

29422024632 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 29422024632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56232126720).

29422024632 is an abundant number, since it is smaller than the sum of its proper divisors (83042228808).

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

29422024632 is a wasteful number, since it uses less digits than its factorization.

29422024632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 29422024632 in words is "twenty-nine billion, four hundred twenty-two million, twenty-four thousand, six hundred thirty-two".