29730040164 has 144 divisors (see below), whose sum is σ = 91374454080. Its totient is φ = 8032849920.

The previous prime is 29730040129. The next prime is 29730040247. The reversal of 29730040164 is 46104003792.

29730040164 is a `hidden beast` number, since 297 + 300 + 4 + 0 + 1 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11692 + ... + 244124.

It is an arithmetic number, because the mean of its divisors is an integer number (634544820).

Almost surely, 2^29730040164 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 29730040164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45687227040).

29730040164 is an abundant number, since it is smaller than the sum of its proper divisors (61644413916).

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

29730040164 is a wasteful number, since it uses less digits than its factorization.

29730040164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232490 (or 232485 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 29730040164 in words is "twenty-nine billion, seven hundred thirty million, forty thousand, one hundred sixty-four".