29369939663680 has 672 divisors, whose sum is σ = 89943099402240. Its totient is φ = 8938778112000.

The previous prime is 29369939663663. The next prime is 29369939663723. The reversal of 29369939663680 is 8636693996392.

It is a happy number.

It is a super-2 number, since 2×29369939663680² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29369939663680.

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, 2414689279 + ... + 2414701441.

It is an arithmetic number, because the mean of its divisors is an integer number (133843897920).

Almost surely, 2^{29369939663680} is an apocalyptic number.

29369939663680 is a gapful number since it is divisible by the number (20) 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 29369939663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44971549701120).

29369939663680 is an abundant number, since it is smaller than the sum of its proper divisors (60573159738560).

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

29369939663680 is a wasteful number, since it uses less digits than its factorization.

29369939663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12419 (or 12398 counting only the distinct ones).

The product of its (nonzero) digits is 3673320192, while the sum is 79.

The spelling of 29369939663680 in words is "twenty-nine trillion, three hundred sixty-nine billion, nine hundred thirty-nine million, six hundred sixty-three thousand, six hundred eighty".