29748003680 has 96 divisors (see below), whose sum is σ = 70676686080. Its totient is φ = 11832215040.

The previous prime is 29748003667. The next prime is 29748003683. The reversal of 29748003680 is 8630084792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29748003683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32797787 + ... + 32798693.

It is an arithmetic number, because the mean of its divisors is an integer number (736215480).

Almost surely, 2^29748003680 is an apocalyptic number.

29748003680 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 29748003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35338343040).

29748003680 is an abundant number, since it is smaller than the sum of its proper divisors (40928682400).

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

29748003680 is a wasteful number, since it uses less digits than its factorization.

29748003680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 29748003680 in words is "twenty-nine billion, seven hundred forty-eight million, three thousand, six hundred eighty".