29991677976 has 128 divisors (see below), whose sum is σ = 91628006400. Its totient is φ = 9031824000.

The previous prime is 29991677959. The next prime is 29991677987. The reversal of 29991677976 is 67977619992.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18351 + ... + 245601.

It is an arithmetic number, because the mean of its divisors is an integer number (715843800).

Almost surely, 2^29991677976 is an apocalyptic number.

29991677976 is a gapful number since it is divisible by the number (26) 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 29991677976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45814003200).

29991677976 is an abundant number, since it is smaller than the sum of its proper divisors (61636328424).

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

29991677976 is a wasteful number, since it uses less digits than its factorization.

29991677976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227326 (or 227316 counting only the distinct ones).

The product of its digits is 162030456, while the sum is 72.

The spelling of 29991677976 in words is "twenty-nine billion, nine hundred ninety-one million, six hundred seventy-seven thousand, nine hundred seventy-six".