29447700768 has 192 divisors, whose sum is σ = 90553317120. Its totient is φ = 9291718656.

The previous prime is 29447700739. The next prime is 29447700769. The reversal of 29447700768 is 86700774492.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (29447700769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1919946 + ... + 1935222.

It is an arithmetic number, because the mean of its divisors is an integer number (471631860).

Almost surely, 2^29447700768 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 29447700768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45276658560).

29447700768 is an abundant number, since it is smaller than the sum of its proper divisors (61105616352).

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

29447700768 is a wasteful number, since it uses less digits than its factorization.

29447700768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15416 (or 15402 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 29447700768 in words is "twenty-nine billion, four hundred forty-seven million, seven hundred thousand, seven hundred sixty-eight".