29724146832 has 80 divisors (see below), whose sum is σ = 78921591552. Its totient is φ = 9635358720.

The previous prime is 29724146819. The next prime is 29724146867. The reversal of 29724146832 is 23864142792.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312232 + ... + 396152.

Almost surely, 2^29724146832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29724146832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39460795776).

29724146832 is an abundant number, since it is smaller than the sum of its proper divisors (49197444720).

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

29724146832 is a wasteful number, since it uses less digits than its factorization.

29724146832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84136 (or 84130 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 29724146832 in words is "twenty-nine billion, seven hundred twenty-four million, one hundred forty-six thousand, eight hundred thirty-two".