29931768064 has 81 divisors (see below), whose sum is σ = 65738774899. Its totient is φ = 13591508480.

The previous prime is 29931768059. The next prime is 29931768091. The reversal of 29931768064 is 46086713992.

The square root of 29931768064 is 173008.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29931767996 and 29931768014.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30448917 + ... + 30449899.

Almost surely, 2^29931768064 is an apocalyptic number.

29931768064 is the 173008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29931768064

29931768064 is an abundant number, since it is smaller than the sum of its proper divisors (35807006835).

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

29931768064 is an frugal number, since it uses more digits than its factorization.

29931768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 29931768064 in words is "twenty-nine billion, nine hundred thirty-one million, seven hundred sixty-eight thousand, sixty-four".