29530666468464 has 480 divisors, whose sum is σ = 94140966592512. Its totient is φ = 7798932979200.

The previous prime is 29530666468423. The next prime is 29530666468559. The reversal of 29530666468464 is 46486466603592.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6022976637 + ... + 6022981539.

Almost surely, 2^{29530666468464} is an apocalyptic number.

29530666468464 is a gapful number since it is divisible by the number (24) 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 29530666468464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47070483296256).

29530666468464 is an abundant number, since it is smaller than the sum of its proper divisors (64610300124048).

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

29530666468464 is a wasteful number, since it uses less digits than its factorization.

29530666468464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 69.

The spelling of 29530666468464 in words is "twenty-nine trillion, five hundred thirty billion, six hundred sixty-six million, four hundred sixty-eight thousand, four hundred sixty-four".