29672983280 has 80 divisors (see below), whose sum is σ = 72578613600. Its totient is φ = 11265623040.

The previous prime is 29672983253. The next prime is 29672983283. The reversal of 29672983280 is 8238927692.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29672983283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28490 + ... + 245270.

It is an arithmetic number, because the mean of its divisors is an integer number (907232670).

Almost surely, 2^29672983280 is an apocalyptic number.

29672983280 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 29672983280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36289306800).

29672983280 is an abundant number, since it is smaller than the sum of its proper divisors (42905630320).

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

29672983280 is a wasteful number, since it uses less digits than its factorization.

29672983280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216882 (or 216876 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 29672983280 in words is "twenty-nine billion, six hundred seventy-two million, nine hundred eighty-three thousand, two hundred eighty".