29682631680 has 352 divisors, whose sum is σ = 104648928384. Its totient is φ = 7134511104.

The previous prime is 29682631679. The next prime is 29682631697. The reversal of 29682631680 is 8613628692.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8584512 + ... + 8587968.

It is an arithmetic number, because the mean of its divisors is an integer number (297298092).

Almost surely, 2^29682631680 is an apocalyptic number.

29682631680 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 29682631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52324464192).

29682631680 is an abundant number, since it is smaller than the sum of its proper divisors (74966296704).

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

29682631680 is a wasteful number, since it uses less digits than its factorization.

29682631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 29682631680 in words is "twenty-nine billion, six hundred eighty-two million, six hundred thirty-one thousand, six hundred eighty".