731629469952 has 324 divisors, whose sum is σ = 2308863931920. Its totient is φ = 231033793536.

The previous prime is 731629469947. The next prime is 731629469959. The reversal of 731629469952 is 259964926137.

731629469952 is a `hidden beast` number, since 7 + 3 + 162 + 9 + 469 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 731629469952.

It is not an unprimeable number, because it can be changed into a prime (731629469959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22440799 + ... + 22473377.

Almost surely, 2^731629469952 is an apocalyptic number.

731629469952 is a gapful number since it is divisible by the number (72) 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 731629469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154431965960).

731629469952 is an abundant number, since it is smaller than the sum of its proper divisors (1577234461968).

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

731629469952 is an equidigital number, since it uses as much as digits as its factorization.

731629469952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32648 (or 32603 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

It can be divided in two parts, 7316294 and 69952, that added together give a triangular number (7386246 = T₃₈₄₃).

The spelling of 731629469952 in words is "seven hundred thirty-one billion, six hundred twenty-nine million, four hundred sixty-nine thousand, nine hundred fifty-two".