29840670720 has 768 divisors, whose sum is σ = 122681520000. Its totient is φ = 6705119232.

The previous prime is 29840670683. The next prime is 29840670731. The reversal of 29840670720 is 2707604892.

It is a tau number, because it is divible by the number of its divisors (768).

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

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 47 ways as a sum of consecutive naturals, for example, 505774051 + ... + 505774109.

Almost surely, 2^29840670720 is an apocalyptic number.

29840670720 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 29840670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61340760000).

29840670720 is an abundant number, since it is smaller than the sum of its proper divisors (92840849280).

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

29840670720 is an frugal number, since it uses more digits than its factorization.

29840670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 29840670720 in words is "twenty-nine billion, eight hundred forty million, six hundred seventy thousand, seven hundred twenty".