29996772960 has 864 divisors, whose sum is σ = 126909732096. Its totient is φ = 5878118400.

The previous prime is 29996772931. The next prime is 29996772961. The reversal of 29996772960 is 6927769992.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 29996772891 and 29996772900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29996772961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 422489725 + ... + 422489795.

It is an arithmetic number, because the mean of its divisors is an integer number (146886264).

Almost surely, 2^29996772960 is an apocalyptic number.

29996772960 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 29996772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63454866048).

29996772960 is an abundant number, since it is smaller than the sum of its proper divisors (96912959136).

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

29996772960 is a wasteful number, since it uses less digits than its factorization.

29996772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 66.

The spelling of 29996772960 in words is "twenty-nine billion, nine hundred ninety-six million, seven hundred seventy-two thousand, nine hundred sixty".