29993702415684 has 192 divisors, whose sum is σ = 80872243845120. Its totient is φ = 8474945448960.

The previous prime is 29993702415671. The next prime is 29993702415731. The reversal of 29993702415684 is 48651420739992.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8897566519 + ... + 8897569889.

It is an arithmetic number, because the mean of its divisors is an integer number (421209603360).

It is a 1-persistent number, because it is pandigital, but 2⋅29993702415684 = 59987404831368 is not.

Almost surely, 2^{29993702415684} 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 29993702415684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40436121922560).

29993702415684 is an abundant number, since it is smaller than the sum of its proper divisors (50878541429436).

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

29993702415684 is a wasteful number, since it uses less digits than its factorization.

29993702415684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6570 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 29993702415684 in words is "twenty-nine trillion, nine hundred ninety-three billion, seven hundred two million, four hundred fifteen thousand, six hundred eighty-four".