29682862768 has 80 divisors (see below), whose sum is σ = 64791165600. Its totient is φ = 13078517760.

The previous prime is 29682862757. The next prime is 29682862787. The reversal of 29682862768 is 86726828692.

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 15 ways as a sum of consecutive naturals, for example, 509203 + ... + 564493.

It is an arithmetic number, because the mean of its divisors is an integer number (809889570).

Almost surely, 2^29682862768 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 29682862768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32395582800).

29682862768 is an abundant number, since it is smaller than the sum of its proper divisors (35108302832).

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

29682862768 is a wasteful number, since it uses less digits than its factorization.

29682862768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55430 (or 55424 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 64.

The spelling of 29682862768 in words is "twenty-nine billion, six hundred eighty-two million, eight hundred sixty-two thousand, seven hundred sixty-eight".