29666281664 has 84 divisors (see below), whose sum is σ = 62868026664. Its totient is φ = 13841031168.

The previous prime is 29666281657. The next prime is 29666281679. The reversal of 29666281664 is 46618266692.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72533492 + ... + 72533900.

Almost surely, 2^29666281664 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 29666281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31434013332).

29666281664 is an abundant number, since it is smaller than the sum of its proper divisors (33201745000).

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

29666281664 is an equidigital number, since it uses as much as digits as its factorization.

29666281664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 591 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 56.

The spelling of 29666281664 in words is "twenty-nine billion, six hundred sixty-six million, two hundred eighty-one thousand, six hundred sixty-four".