29868978304 has 64 divisors (see below), whose sum is σ = 65381551200. Its totient is φ = 13479045120.

The previous prime is 29868978287. The next prime is 29868978317. The reversal of 29868978304 is 40387986892.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119404 + ... + 272020.

Almost surely, 2^29868978304 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 29868978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32690775600).

29868978304 is an abundant number, since it is smaller than the sum of its proper divisors (35512572896).

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

29868978304 is a wasteful number, since it uses less digits than its factorization.

29868978304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152781 (or 152769 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

The spelling of 29868978304 in words is "twenty-nine billion, eight hundred sixty-eight million, nine hundred seventy-eight thousand, three hundred four".