29224074672 has 320 divisors, whose sum is σ = 98247461760. Its totient is φ = 8233353216.

The previous prime is 29224074647. The next prime is 29224074683. The reversal of 29224074672 is 27647042292.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3528328 + ... + 3536600.

It is an arithmetic number, because the mean of its divisors is an integer number (307023318).

Almost surely, 2^29224074672 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 29224074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49123730880).

29224074672 is an abundant number, since it is smaller than the sum of its proper divisors (69023387088).

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

29224074672 is a wasteful number, since it uses less digits than its factorization.

29224074672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357 (or 8345 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 29224074672 in words is "twenty-nine billion, two hundred twenty-four million, seventy-four thousand, six hundred seventy-two".