29643697920 has 432 divisors, whose sum is σ = 101565787680. Its totient is φ = 7359528960.

The previous prime is 29643697907. The next prime is 29643697961. The reversal of 29643697920 is 2979634692.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 107016822 + ... + 107017098.

It is an arithmetic number, because the mean of its divisors is an integer number (235105990).

Almost surely, 2^29643697920 is an apocalyptic number.

29643697920 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 29643697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50782893840).

29643697920 is an abundant number, since it is smaller than the sum of its proper divisors (71922089760).

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

29643697920 is a wasteful number, since it uses less digits than its factorization.

29643697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 29643697920 in words is "twenty-nine billion, six hundred forty-three million, six hundred ninety-seven thousand, nine hundred twenty".