729253343911680 has 864 divisors, whose sum is σ = 3168779550854400. Its totient is φ = 157913499082752.

The previous prime is 729253343911633. The next prime is 729253343911693. The reversal of 729253343911680 is 86119343352927.

729253343911680 is a `hidden beast` number, since 7 + 2 + 9 + 2 + 5 + 3 + 3 + 439 + 116 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20842879 + ... + 43507841.

It is an arithmetic number, because the mean of its divisors is an integer number (3667568924600).

It is a 1-persistent number, because it is pandigital, but 2⋅729253343911680 = 1458506687823360 is not.

Almost surely, 2^{729253343911680} is an apocalyptic number.

729253343911680 is a gapful number since it is divisible by the number (70) 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 729253343911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584389775427200).

729253343911680 is an abundant number, since it is smaller than the sum of its proper divisors (2439526206942720).

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

729253343911680 is a wasteful number, since it uses less digits than its factorization.

729253343911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22665026 (or 22664999 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 729253343911680 in words is "seven hundred twenty-nine trillion, two hundred fifty-three billion, three hundred forty-three million, nine hundred eleven thousand, six hundred eighty".