289629477072 has 360 divisors, whose sum is σ = 937792284000. Its totient is φ = 83157414912.

The previous prime is 289629477047. The next prime is 289629477083. The reversal of 289629477072 is 270774926982.

289629477072 is a `hidden beast` number, since 2 + 8 + 96 + 2 + 9 + 477 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30975054 + ... + 30984402.

Almost surely, 2^289629477072 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 289629477072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468896142000).

289629477072 is an abundant number, since it is smaller than the sum of its proper divisors (648162806928).

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

289629477072 is a wasteful number, since it uses less digits than its factorization.

289629477072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475 (or 9453 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 289629477072 in words is "two hundred eighty-nine billion, six hundred twenty-nine million, four hundred seventy-seven thousand, seventy-two".