29714973120 has 784 divisors, whose sum is σ = 125369653248. Its totient is φ = 6561699840.

The previous prime is 29714973083. The next prime is 29714973121. The reversal of 29714973120 is 2137941792.

29714973120 is a `hidden beast` number, since 297 + 1 + 49 + 7 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29714973121) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 50621467 + ... + 50622053.

It is an arithmetic number, because the mean of its divisors is an integer number (159910272).

Almost surely, 2^29714973120 is an apocalyptic number.

29714973120 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 29714973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62684826624).

29714973120 is an abundant number, since it is smaller than the sum of its proper divisors (95654680128).

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

29714973120 is an equidigital number, since it uses as much as digits as its factorization.

29714973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 29714973120 in words is "twenty-nine billion, seven hundred fourteen million, nine hundred seventy-three thousand, one hundred twenty".