30729161661696 has 432 divisors, whose sum is σ = 94334222295040. Its totient is φ = 9593026007040.

The previous prime is 30729161661691. The next prime is 30729161661707. The reversal of 30729161661696 is 69616616192703.

30729161661696 is a `hidden beast` number, since 3 + 0 + 7 + 2 + 9 + 1 + 6 + 1 + 6 + 616 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30729161661691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1573343451 + ... + 1573362981.

Almost surely, 2^{30729161661696} is an apocalyptic number.

30729161661696 is a gapful number since it is divisible by the number (36) 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 30729161661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47167111147520).

30729161661696 is an abundant number, since it is smaller than the sum of its proper divisors (63605060633344).

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

30729161661696 is a wasteful number, since it uses less digits than its factorization.

30729161661696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19982 (or 19965 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 30729161661696 in words is "thirty trillion, seven hundred twenty-nine billion, one hundred sixty-one million, six hundred sixty-one thousand, six hundred ninety-six".