29460873984 has 72 divisors (see below), whose sum is σ = 79290071280. Its totient is φ = 9709928448.

The previous prime is 29460873961. The next prime is 29460874031. The reversal of 29460873984 is 48937806492.

It is a super-2 number, since 2×29460873984² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147157 + ... + 283860.

It is an arithmetic number, because the mean of its divisors is an integer number (1101250990).

Almost surely, 2^29460873984 is an apocalyptic number.

29460873984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29460873984 is an abundant number, since it is smaller than the sum of its proper divisors (49829197296).

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

29460873984 is an equidigital number, since it uses as much as digits as its factorization.

29460873984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431125 (or 431111 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 29460873984 in words is "twenty-nine billion, four hundred sixty million, eight hundred seventy-three thousand, nine hundred eighty-four".