29820829640 has 96 divisors (see below), whose sum is σ = 78106835520. Its totient is φ = 10217031552.

The previous prime is 29820829627. The next prime is 29820829729. The reversal of 29820829640 is 4692802892.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3262757 + ... + 3271883.

It is an arithmetic number, because the mean of its divisors is an integer number (813612870).

Almost surely, 2^29820829640 is an apocalyptic number.

29820829640 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 29820829640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39053417760).

29820829640 is an abundant number, since it is smaller than the sum of its proper divisors (48286005880).

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

29820829640 is a wasteful number, since it uses less digits than its factorization.

29820829640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10819 (or 10808 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 29820829640 in words is "twenty-nine billion, eight hundred twenty million, eight hundred twenty-nine thousand, six hundred forty".