29484366120 has 768 divisors, whose sum is σ = 115624454400. Its totient is φ = 6688604160.

The previous prime is 29484366097. The next prime is 29484366161. The reversal of 29484366120 is 2166348492.

29484366120 is a `hidden beast` number, since 2 + 94 + 8 + 436 + 6 + 120 = 666.

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114725032 + ... + 114725288.

It is an arithmetic number, because the mean of its divisors is an integer number (150552675).

Almost surely, 2^29484366120 is an apocalyptic number.

29484366120 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 29484366120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57812227200).

29484366120 is an abundant number, since it is smaller than the sum of its proper divisors (86140088280).

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

29484366120 is a wasteful number, since it uses less digits than its factorization.

29484366120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 29484366120 in words is "twenty-nine billion, four hundred eighty-four million, three hundred sixty-six thousand, one hundred twenty".