29680964352 has 216 divisors, whose sum is σ = 95046613200. Its totient is φ = 9132244992.

The previous prime is 29680964317. The next prime is 29680964389. The reversal of 29680964352 is 25346908692.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155424 + ... + 1180832.

Almost surely, 2^29680964352 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 29680964352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47523306600).

29680964352 is an abundant number, since it is smaller than the sum of its proper divisors (65365648848).

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

29680964352 is a wasteful number, since it uses less digits than its factorization.

29680964352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25460 (or 25427 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 29680964352 in words is "twenty-nine billion, six hundred eighty million, nine hundred sixty-four thousand, three hundred fifty-two".