29968932864 has 224 divisors, whose sum is σ = 90607164480. Its totient is φ = 8734113792.

The previous prime is 29968932859. The next prime is 29968933019. The reversal of 29968932864 is 46823986992.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29968932795 and 29968932804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6067804 + ... + 6072740.

It is an arithmetic number, because the mean of its divisors is an integer number (404496270).

Almost surely, 2^29968932864 is an apocalyptic number.

29968932864 is a gapful number since it is divisible by the number (24) 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 29968932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45303582240).

29968932864 is an abundant number, since it is smaller than the sum of its proper divisors (60638231616).

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

29968932864 is a wasteful number, since it uses less digits than its factorization.

29968932864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4974 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 66.

The spelling of 29968932864 in words is "twenty-nine billion, nine hundred sixty-eight million, nine hundred thirty-two thousand, eight hundred sixty-four".