729827739648 has 576 divisors, whose sum is σ = 2509325844480. Its totient is φ = 207597551616.

The previous prime is 729827739631. The next prime is 729827739661. The reversal of 729827739648 is 846937728927.

729827739648 is a `hidden beast` number, since 7 + 298 + 277 + 3 + 9 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 1334236911 + ... + 1334237457.

It is an arithmetic number, because the mean of its divisors is an integer number (4356468480).

Almost surely, 2^729827739648 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 729827739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254662922240).

729827739648 is an abundant number, since it is smaller than the sum of its proper divisors (1779498104832).

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

729827739648 is an equidigital number, since it uses as much as digits as its factorization.

729827739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 942 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 729827739648 in words is "seven hundred twenty-nine billion, eight hundred twenty-seven million, seven hundred thirty-nine thousand, six hundred forty-eight".