29794477968 has 320 divisors, whose sum is σ = 90878112000. Its totient is φ = 9331789824.

The previous prime is 29794477963. The next prime is 29794478017. The reversal of 29794477968 is 86977449792.

29794477968 is a `hidden beast` number, since 2 + 9 + 7 + 94 + 477 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 29794477896 and 29794477905.

It is not an unprimeable number, because it can be changed into a prime (29794477963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127873180 + ... + 127873412.

It is an arithmetic number, because the mean of its divisors is an integer number (283994100).

Almost surely, 2^29794477968 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 29794477968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45439056000).

29794477968 is an abundant number, since it is smaller than the sum of its proper divisors (61083634032).

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

29794477968 is a wasteful number, since it uses less digits than its factorization.

29794477968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 499 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

The spelling of 29794477968 in words is "twenty-nine billion, seven hundred ninety-four million, four hundred seventy-seven thousand, nine hundred sixty-eight".