29993340469664 has 384 divisors, whose sum is σ = 71870021024256. Its totient is φ = 12138946560000.

The previous prime is 29993340469663. The next prime is 29993340469667. The reversal of 29993340469664 is 46696404339992.

It is a super-2 number, since 2×29993340469664² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29993340469591 and 29993340469600.

It is not an unprimeable number, because it can be changed into a prime (29993340469663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23054065814 + ... + 23054067114.

It is an arithmetic number, because the mean of its divisors is an integer number (187161513084).

Almost surely, 2^{29993340469664} 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 29993340469664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35935010512128).

29993340469664 is an abundant number, since it is smaller than the sum of its proper divisors (41876680554592).

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

29993340469664 is a wasteful number, since it uses less digits than its factorization.

29993340469664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 1632586752, while the sum is 74.

The spelling of 29993340469664 in words is "twenty-nine trillion, nine hundred ninety-three billion, three hundred forty million, four hundred sixty-nine thousand, six hundred sixty-four".