729793351397376 has 520 divisors, whose sum is σ = 2491934910110624. Its totient is φ = 208479969607680.

The previous prime is 729793351397347. The next prime is 729793351397377. The reversal of 729793351397376 is 673793153397927.

729793351397376 is a `hidden beast` number, since 7 + 2 + 9 + 7 + 9 + 3 + 3 + 513 + 97 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 729793351397295 and 729793351397304.

It is not an unprimeable number, because it can be changed into a prime (729793351397377) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17699233656 + ... + 17699274888.

Almost surely, 2^{729793351397376} 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 729793351397376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245967455055312).

729793351397376 is an abundant number, since it is smaller than the sum of its proper divisors (1762141558713248).

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

729793351397376 is an equidigital number, since it uses as much as digits as its factorization.

729793351397376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48897 (or 48866 counting only the distinct ones).

The product of its digits is 8506598940, while the sum is 81.

The spelling of 729793351397376 in words is "seven hundred twenty-nine trillion, seven hundred ninety-three billion, three hundred fifty-one million, three hundred ninety-seven thousand, three hundred seventy-six".