729673629696 has 630 divisors, whose sum is σ = 2429960475096. Its totient is φ = 217998950400.

The previous prime is 729673629679. The next prime is 729673629703. The reversal of 729673629696 is 696926376927.

729673629696 is a `hidden beast` number, since 7 + 2 + 96 + 7 + 362 + 96 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 10277093341 + ... + 10277093411.

Almost surely, 2^729673629696 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 729673629696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214980237548).

729673629696 is an abundant number, since it is smaller than the sum of its proper divisors (1700286845400).

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

729673629696 is an frugal number, since it uses more digits than its factorization.

729673629696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 87 counting only the distinct ones).

The product of its digits is 555532992, while the sum is 72.

The spelling of 729673629696 in words is "seven hundred twenty-nine billion, six hundred seventy-three million, six hundred twenty-nine thousand, six hundred ninety-six".