29964867072 has 160 divisors (see below), whose sum is σ = 91392364800. Its totient is φ = 8546377728.

The previous prime is 29964867067. The next prime is 29964867089. The reversal of 29964867072 is 27076846992.

It is a junction number, because it is equal to n+sod(n) for n = 29964866997 and 29964867015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7083454 + ... + 7087682.

It is an arithmetic number, because the mean of its divisors is an integer number (571202280).

Almost surely, 2^29964867072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29964867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696182400).

29964867072 is an abundant number, since it is smaller than the sum of its proper divisors (61427497728).

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

29964867072 is an equidigital number, since it uses as much as digits as its factorization.

29964867072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 29964867072 in words is "twenty-nine billion, nine hundred sixty-four million, eight hundred sixty-seven thousand, seventy-two".