29878640144640 has 1728 divisors, whose sum is σ = 126464829603840. Its totient is φ = 6368267796480.

The previous prime is 29878640144581. The next prime is 29878640144653. The reversal of 29878640144640 is 4644104687892.

29878640144640 is a `hidden beast` number, since 2 + 9 + 87 + 86 + 4 + 0 + 14 + 464 + 0 = 666.

29878640144640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 9896865051 + ... + 9896868069.

It is an arithmetic number, because the mean of its divisors is an integer number (73185665280).

Almost surely, 2^{29878640144640} is an apocalyptic number.

29878640144640 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 29878640144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63232414801920).

29878640144640 is an abundant number, since it is smaller than the sum of its proper divisors (96586189459200).

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

29878640144640 is a wasteful number, since it uses less digits than its factorization.

29878640144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 29878640144640 in words is "twenty-nine trillion, eight hundred seventy-eight billion, six hundred forty million, one hundred forty-four thousand, six hundred forty".