729889107948 has 576 divisors, whose sum is σ = 2574867742720. Its totient is φ = 173980224000.

The previous prime is 729889107929. The next prime is 729889107973. The reversal of 729889107948 is 849701988927.

It is a super-2 number, since 2×729889107948² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215241333 + ... + 215244723.

Almost surely, 2^729889107948 is an apocalyptic number.

729889107948 is a gapful number since it is divisible by the number (78) 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 729889107948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287433871360).

729889107948 is an abundant number, since it is smaller than the sum of its proper divisors (1844978634772).

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

729889107948 is a wasteful number, since it uses less digits than its factorization.

729889107948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 729889107948 in words is "seven hundred twenty-nine billion, eight hundred eighty-nine million, one hundred seven thousand, nine hundred forty-eight".