29972580672 has 56 divisors (see below), whose sum is σ = 79618527072. Its totient is φ = 9951040000.

The previous prime is 29972580601. The next prime is 29972580679. The reversal of 29972580672 is 27608527992.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29972580679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262779 + ... + 359162.

It is an arithmetic number, because the mean of its divisors is an integer number (1421759412).

Almost surely, 2^29972580672 is an apocalyptic number.

It is an amenable number.

29972580672 is an abundant number, since it is smaller than the sum of its proper divisors (49645946400).

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

29972580672 is a wasteful number, since it uses less digits than its factorization.

29972580672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622207 (or 622197 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 29972580672 in words is "twenty-nine billion, nine hundred seventy-two million, five hundred eighty thousand, six hundred seventy-two".